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116525480 = 235171929311
BaseRepresentation
bin1101111001000…
…00100110101000
322010021002220112
412330200212220
5214312303410
615321313452
72613310301
oct674404650
9263232815
10116525480
115a859355
1233035888
131b1ab5b6
14116937a8
15a36b105
hex6f209a8

116525480 has 128 divisors (see below), whose sum is σ = 303264000. Its totient is φ = 39997440.

The previous prime is 116525473. The next prime is 116525489. The reversal of 116525480 is 84525611.

It is not an unprimeable number, because it can be changed into a prime (116525489) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 374525 + ... + 374835.

It is an arithmetic number, because the mean of its divisors is an integer number (2369250).

Almost surely, 2116525480 is an apocalyptic number.

116525480 is a gapful number since it is divisible by the number (10) 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 116525480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151632000).

116525480 is an abundant number, since it is smaller than the sum of its proper divisors (186738520).

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

116525480 is a wasteful number, since it uses less digits than its factorization.

116525480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 32.

The square root of 116525480 is about 10794.6968461370. The cubic root of 116525480 is about 488.4352137360.

The spelling of 116525480 in words is "one hundred sixteen million, five hundred twenty-five thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 17 19 20 29 34 38 40 58 68 76 85 95 116 136 145 152 170 190 232 290 311 323 340 380 493 551 580 622 646 680 760 986 1102 1160 1244 1292 1555 1615 1972 2204 2465 2488 2584 2755 3110 3230 3944 4408 4930 5287 5510 5909 6220 6460 9019 9367 9860 10574 11020 11818 12440 12920 18038 18734 19720 21148 22040 23636 26435 29545 36076 37468 42296 45095 46835 47272 52870 59090 72152 74936 90190 93670 100453 105740 118180 153323 171361 180380 187340 200906 211480 236360 306646 342722 360760 374680 401812 502265 613292 685444 766615 803624 856805 1004530 1226584 1370888 1533230 1713610 2009060 2913137 3066460 3427220 4018120 5826274 6132920 6854440 11652548 14565685 23305096 29131370 58262740 116525480