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52140240 = 24335101239
BaseRepresentation
bin1100011011100…
…1100011010000
310122002222222000
43012321203100
5101321441430
65101314000
71202120235
oct306714320
9118088860
1052140240
1127482809
1215565900
13aa57619
146cd378c
15489de60
hex31b98d0

52140240 has 160 divisors (see below), whose sum is σ = 182131200. Its totient is φ = 13708800.

The previous prime is 52140211. The next prime is 52140293. The reversal of 52140240 is 4204125.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218041 + ... + 218279.

It is an arithmetic number, because the mean of its divisors is an integer number (1138320).

Almost surely, 252140240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52140240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91065600).

52140240 is an abundant number, since it is smaller than the sum of its proper divisors (129990960).

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

52140240 is a wasteful number, since it uses less digits than its factorization.

52140240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 52140240 is about 7220.8198980448. The cubic root of 52140240 is about 373.5863576706.

Adding to 52140240 its reverse (4204125), we get a palindrome (56344365).

The spelling of 52140240 in words is "fifty-two million, one hundred forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 101 108 120 135 144 180 202 216 239 240 270 303 360 404 432 478 505 540 606 717 720 808 909 956 1010 1080 1195 1212 1434 1515 1616 1818 1912 2020 2151 2160 2390 2424 2727 2868 3030 3585 3636 3824 4040 4302 4545 4780 4848 5454 5736 6060 6453 7170 7272 8080 8604 9090 9560 10755 10908 11472 12120 12906 13635 14340 14544 17208 18180 19120 21510 21816 24139 24240 25812 27270 28680 32265 34416 36360 43020 43632 48278 51624 54540 57360 64530 72417 72720 86040 96556 103248 109080 120695 129060 144834 172080 193112 217251 218160 241390 258120 289668 362085 386224 434502 482780 516240 579336 651753 724170 869004 965560 1086255 1158672 1303506 1448340 1738008 1931120 2172510 2607012 2896680 3258765 3476016 4345020 5214024 5793360 6517530 8690040 10428048 13035060 17380080 26070120 52140240