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116007507 = 327111743229
BaseRepresentation
bin1101110101000…
…10001001010011
322002021210101100
412322202021103
5214144220012
615302235443
72606022210
oct672421123
9262253340
10116007507
115a535180
1232a25b83
131b0598c5
141159ab07
15a2b78dc
hex6ea2253

116007507 has 96 divisors (see below), whose sum is σ = 227335680. Its totient is φ = 55157760.

The previous prime is 116007497. The next prime is 116007509. The reversal of 116007507 is 705700611.

116007507 is a `hidden beast` number, since 1 + 1 + 600 + 7 + 50 + 7 = 666.

It is not a de Polignac number, because 116007507 - 27 = 116007379 is a prime.

It is not an unprimeable number, because it can be changed into a prime (116007509) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 506469 + ... + 506697.

It is an arithmetic number, because the mean of its divisors is an integer number (2368080).

Almost surely, 2116007507 is an apocalyptic number.

116007507 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

116007507 is a deficient number, since it is larger than the sum of its proper divisors (111328173).

116007507 is a wasteful number, since it uses less digits than its factorization.

116007507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The square root of 116007507 is about 10770.6781123567. The cubic root of 116007507 is about 487.7104164641.

The spelling of 116007507 in words is "one hundred sixteen million, seven thousand, five hundred seven".

Divisors: 1 3 7 9 11 17 21 33 43 51 63 77 99 119 129 153 187 229 231 301 357 387 473 561 687 693 731 903 1071 1309 1419 1603 1683 2061 2193 2519 2709 3311 3893 3927 4257 4809 5117 6579 7557 8041 9847 9933 11679 11781 14427 15351 17633 22671 24123 27251 29541 29799 35037 42823 46053 52899 56287 68929 72369 81753 88623 108317 128469 158697 167399 168861 206787 245259 299761 324951 385407 502197 506583 620361 758219 899283 974853 1171793 1506591 1841389 2274657 2697849 3515379 5524167 6823971 10546137 12889723 16572501 38669169 116007507