[go: up one dir, main page]

Search a number
-
+
235086720 = 27351111131
BaseRepresentation
bin11100000001100…
…10001110000000
3121101100122100120
432000302032000
5440140233340
635154420240
75553130011
oct1600621600
9541318316
10235086720
11110778150
1266891680
133992068b
1423317008
151598a4d0
hexe032380

235086720 has 128 divisors (see below), whose sum is σ = 817534080. Its totient is φ = 56985600.

The previous prime is 235086713. The next prime is 235086721. The reversal of 235086720 is 27680532.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235086721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15555 + ... + 26685.

It is an arithmetic number, because the mean of its divisors is an integer number (6386985).

Almost surely, 2235086720 is an apocalyptic number.

235086720 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 235086720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408767040).

235086720 is an abundant number, since it is smaller than the sum of its proper divisors (582447360).

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

235086720 is a wasteful number, since it uses less digits than its factorization.

235086720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11164 (or 11152 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 235086720 is about 15332.5379503851. The cubic root of 235086720 is about 617.1764776902.

The spelling of 235086720 in words is "two hundred thirty-five million, eighty-six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 264 320 330 352 384 440 480 528 640 660 704 880 960 1056 1320 1408 1760 1920 2112 2640 3520 4224 5280 7040 10560 11131 21120 22262 33393 44524 55655 66786 89048 111310 122441 133572 166965 178096 222620 244882 267144 333930 356192 367323 445240 489764 534288 612205 667860 712384 734646 890480 979528 1068576 1224410 1335720 1424768 1469292 1780960 1836615 1959056 2137152 2448820 2671440 2938584 3561920 3673230 3918112 4274304 4897640 5342880 5877168 7123840 7346460 7836224 9795280 10685760 11754336 14692920 15672448 19590560 21371520 23508672 29385840 39181120 47017344 58771680 78362240 117543360 235086720