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116691624 = 23337711087
BaseRepresentation
bin1101111010010…
…01001010101000
322010120112211000
412331021022220
5214333112444
615325035000
72614601550
oct675111250
9263515730
10116691624
115a962165
12330b5a60
131b2390ca
14116d8160
15a3a0469
hex6f492a8

116691624 has 128 divisors (see below), whose sum is σ = 376012800. Its totient is φ = 32840640.

The previous prime is 116691623. The next prime is 116691629. The reversal of 116691624 is 426196611.

It is a super-2 number, since 2×1166916242 = 27233870223514752, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (116691623) 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 31 ways as a sum of consecutive naturals, for example, 106809 + ... + 107895.

It is an arithmetic number, because the mean of its divisors is an integer number (2937600).

Almost surely, 2116691624 is an apocalyptic number.

116691624 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 116691624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188006400).

116691624 is an abundant number, since it is smaller than the sum of its proper divisors (259321176).

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

116691624 is a wasteful number, since it uses less digits than its factorization.

116691624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180 (or 1170 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 116691624 is about 10802.3897356094. The cubic root of 116691624 is about 488.6672432231.

The spelling of 116691624 in words is "one hundred sixteen million, six hundred ninety-one thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 71 72 84 108 126 142 168 189 213 216 252 284 378 426 497 504 568 639 756 852 994 1087 1278 1491 1512 1704 1917 1988 2174 2556 2982 3261 3834 3976 4348 4473 5112 5964 6522 7609 7668 8696 8946 9783 11928 13044 13419 15218 15336 17892 19566 22827 26088 26838 29349 30436 35784 39132 45654 53676 58698 60872 68481 77177 78264 91308 107352 117396 136962 154354 182616 205443 231531 234792 273924 308708 410886 463062 540239 547848 617416 694593 821772 926124 1080478 1389186 1620717 1643544 1852248 2083779 2160956 2778372 3241434 4167558 4321912 4862151 5556744 6482868 8335116 9724302 12965736 14586453 16670232 19448604 29172906 38897208 58345812 116691624