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116506572 = 223713229283
BaseRepresentation
bin1101111000110…
…11111111001100
322010020010222020
412330123333030
5214311202242
615321050140
72613201210
oct674337714
9263203866
10116506572
115a846126
1233026950
131b1a2b00
141168a940
15a3656ec
hex6f1bfcc

116506572 has 144 divisors (see below), whose sum is σ = 349251840. Its totient is φ = 29562624.

The previous prime is 116506571. The next prime is 116506583. The reversal of 116506572 is 275605611.

It is not an unprimeable number, because it can be changed into a prime (116506571) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 411543 + ... + 411825.

It is an arithmetic number, because the mean of its divisors is an integer number (2425360).

Almost surely, 2116506572 is an apocalyptic number.

116506572 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 116506572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174625920).

116506572 is an abundant number, since it is smaller than the sum of its proper divisors (232745268).

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

116506572 is a wasteful number, since it uses less digits than its factorization.

116506572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

The square root of 116506572 is about 10793.8210101891. The cubic root of 116506572 is about 488.4087936701.

The spelling of 116506572 in words is "one hundred sixteen million, five hundred six thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 29 39 42 52 58 78 84 87 91 116 156 169 174 182 203 273 283 338 348 364 377 406 507 546 566 609 676 754 812 849 1014 1092 1131 1132 1183 1218 1508 1698 1981 2028 2262 2366 2436 2639 3396 3549 3679 3962 4524 4732 4901 5278 5943 7098 7358 7917 7924 8207 9802 10556 11037 11886 14196 14703 14716 15834 16414 19604 22074 23772 24621 25753 29406 31668 32828 34307 44148 47827 49242 51506 57449 58812 68614 77259 95654 98484 102921 103012 106691 114898 137228 143481 154518 172347 191308 205842 213382 229796 286962 309036 320073 334789 344694 411684 426764 573924 640146 669578 689388 746837 1004367 1280292 1339156 1386983 1493674 2008734 2240511 2773966 2987348 4017468 4160949 4481022 5547932 8321898 8962044 9708881 16643796 19417762 29126643 38835524 58253286 116506572