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115151064 = 233717231753
BaseRepresentation
bin1101101110100…
…01000011011000
322000200021120020
412313101003120
5213434313224
615232030440
72565524250
oct667210330
9260607506
10115151064
1159aaa776
1232692420
131ab19b32
1411416960
15a198c79
hex6dd10d8

115151064 has 128 divisors (see below), whose sum is σ = 363709440. Its totient is φ = 29601792.

The previous prime is 115151059. The next prime is 115151117. The reversal of 115151064 is 460151511.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64812 + ... + 66564.

It is an arithmetic number, because the mean of its divisors is an integer number (2841480).

Almost surely, 2115151064 is an apocalyptic number.

115151064 is a gapful number since it is divisible by the number (14) 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 115151064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181854720).

115151064 is an abundant number, since it is smaller than the sum of its proper divisors (248558376).

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

115151064 is a wasteful number, since it uses less digits than its factorization.

115151064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1809 (or 1805 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 24.

The square root of 115151064 is about 10730.8463785482. The cubic root of 115151064 is about 486.5072520552.

The spelling of 115151064 in words is "one hundred fifteen million, one hundred fifty-one thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 23 24 28 34 42 46 51 56 68 69 84 92 102 119 136 138 161 168 184 204 238 276 322 357 391 408 476 483 552 644 714 782 952 966 1173 1288 1428 1564 1753 1932 2346 2737 2856 3128 3506 3864 4692 5259 5474 7012 8211 9384 10518 10948 12271 14024 16422 21036 21896 24542 29801 32844 36813 40319 42072 49084 59602 65688 73626 80638 89403 98168 119204 120957 147252 161276 178806 208607 238408 241914 282233 294504 322552 357612 417214 483828 564466 625821 685423 715224 834428 846699 967656 1128932 1251642 1370846 1668856 1693398 2056269 2257864 2503284 2741692 3386796 4112538 4797961 5006568 5483384 6773592 8225076 9595922 14393883 16450152 19191844 28787766 38383688 57575532 115151064