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187089696 = 2533792741
BaseRepresentation
bin10110010011011…
…00001100100000
3111001001010211000
423021230030200
5340343332241
630321552000
74431144003
oct1311541440
9431033730
10187089696
1196675292
12527a5600
132c9b6b81
141abc153a
1511658eb6
hexb26c320

187089696 has 96 divisors (see below), whose sum is σ = 552787200. Its totient is φ = 61551360.

The previous prime is 187089677. The next prime is 187089697. The reversal of 187089696 is 696980781.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (187089697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66886 + ... + 69626.

It is an arithmetic number, because the mean of its divisors is an integer number (5758200).

Almost surely, 2187089696 is an apocalyptic number.

187089696 is a gapful number since it is divisible by the number (16) 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 187089696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276393600).

187089696 is an abundant number, since it is smaller than the sum of its proper divisors (365697504).

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

187089696 is a wasteful number, since it uses less digits than its factorization.

187089696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2839 (or 2825 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The square root of 187089696 is about 13678.0735485667. The cubic root of 187089696 is about 571.9393223001.

The spelling of 187089696 in words is "one hundred eighty-seven million, eighty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 79 96 108 144 158 216 237 288 316 432 474 632 711 864 948 1264 1422 1896 2133 2528 2741 2844 3792 4266 5482 5688 7584 8223 8532 10964 11376 16446 17064 21928 22752 24669 32892 34128 43856 49338 65784 68256 74007 87712 98676 131568 148014 197352 216539 263136 296028 394704 433078 592056 649617 789408 866156 1184112 1299234 1732312 1948851 2368224 2598468 3464624 3897702 5196936 5846553 6929248 7795404 10393872 11693106 15590808 20787744 23386212 31181616 46772424 62363232 93544848 187089696