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116153352 = 2334729883
BaseRepresentation
bin1101110110001…
…01110000001000
322002120012110000
412323011300020
5214213401402
615305323000
72610200340
oct673056010
9262505400
10116153352
115a624807
1232a96460
131b0ab0c3
14115d7d20
15a2e5c1c
hex6ec5c08

116153352 has 160 divisors (see below), whose sum is σ = 385070400. Its totient is φ = 32006016.

The previous prime is 116153347. The next prime is 116153353. The reversal of 116153352 is 253351611.

116153352 is a `hidden beast` number, since 11 + 615 + 3 + 35 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (116153353) 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, 131103 + ... + 131985.

It is an arithmetic number, because the mean of its divisors is an integer number (2406690).

Almost surely, 2116153352 is an apocalyptic number.

116153352 is a gapful number since it is divisible by the number (12) 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 116153352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192535200).

116153352 is an abundant number, since it is smaller than the sum of its proper divisors (268917048).

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

116153352 is a wasteful number, since it uses less digits than its factorization.

116153352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937 (or 924 counting only the distinct ones).

The product of its digits is 2700, while the sum is 27.

The square root of 116153352 is about 10777.4464508064. The cubic root of 116153352 is about 487.9147145593.

The spelling of 116153352 in words is "one hundred sixteen million, one hundred fifty-three thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 29 36 42 54 56 58 63 72 81 84 87 108 116 126 162 168 174 189 203 216 232 252 261 324 348 378 406 504 522 567 609 648 696 756 783 812 883 1044 1134 1218 1512 1566 1624 1766 1827 2088 2268 2349 2436 2649 3132 3532 3654 4536 4698 4872 5298 5481 6181 6264 7064 7308 7947 9396 10596 10962 12362 14616 15894 16443 18543 18792 21192 21924 23841 24724 25607 31788 32886 37086 43848 47682 49448 51214 55629 63576 65772 71523 74172 76821 95364 102428 111258 131544 143046 148344 153642 166887 179249 190728 204856 222516 230463 286092 307284 333774 358498 445032 460926 500661 537747 572184 614568 667548 691389 716996 921852 1001322 1075494 1335096 1382778 1433992 1613241 1843704 2002644 2074167 2150988 2765556 3226482 4005288 4148334 4301976 4839723 5531112 6452964 8296668 9679446 12905928 14519169 16593336 19358892 29038338 38717784 58076676 116153352