[go: up one dir, main page]

Search a number
-
+
252237240 = 23345127613
BaseRepresentation
bin11110000100011…
…01010110111000
3122120121222110000
433002031112320
51004033042430
641010153000
76151660353
oct1702152670
9576558400
10252237240
1111a421632
1270582760
1340346b08
14256dd29a
1517226e60
hexf08d5b8

252237240 has 160 divisors (see below), whose sum is σ = 855866880. Its totient is φ = 66624768.

The previous prime is 252237233. The next prime is 252237241. The reversal of 252237240 is 42732252.

252237240 is a `hidden beast` number, since 252 + 2 + 372 + 40 = 666.

252237240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252237241) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 411174 + ... + 411786.

It is an arithmetic number, because the mean of its divisors is an integer number (5349168).

Almost surely, 2252237240 is an apocalyptic number.

252237240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252237240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427933440).

252237240 is an abundant number, since it is smaller than the sum of its proper divisors (603629640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

252237240 is a wasteful number, since it uses less digits than its factorization.

252237240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 252237240 is about 15881.9784661735. The cubic root of 252237240 is about 631.8341109767.

Adding to 252237240 its reverse (42732252), we get a palindrome (294969492).

The spelling of 252237240 in words is "two hundred fifty-two million, two hundred thirty-seven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 127 135 162 180 216 254 270 324 360 381 405 508 540 613 635 648 762 810 1016 1080 1143 1226 1270 1524 1620 1839 1905 2286 2452 2540 3048 3065 3240 3429 3678 3810 4572 4904 5080 5517 5715 6130 6858 7356 7620 9144 9195 10287 11034 11430 12260 13716 14712 15240 16551 17145 18390 20574 22068 22860 24520 27432 27585 33102 34290 36780 41148 44136 45720 49653 51435 55170 66204 68580 73560 77851 82296 82755 99306 102870 110340 132408 137160 155702 165510 198612 205740 220680 233553 248265 311404 331020 389255 397224 411480 467106 496530 622808 662040 700659 778510 934212 993060 1167765 1401318 1557020 1868424 1986120 2101977 2335530 2802636 3114040 3503295 4203954 4671060 5605272 6305931 7006590 8407908 9342120 10509885 12611862 14013180 16815816 21019770 25223724 28026360 31529655 42039540 50447448 63059310 84079080 126118620 252237240