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187696116 = 22351737307
BaseRepresentation
bin10110011000000…
…00001111110100
3111002011221200000
423030000033310
5341022233431
630342551300
74436250666
oct1314001764
9432157600
10187696116
1196a49963
1252a38530
132cb69bba
141acdc536
15117289e6
hexb3003f4

187696116 has 144 divisors (see below), whose sum is σ = 536792256. Its totient is φ = 57106944.

The previous prime is 187696111. The next prime is 187696127. The reversal of 187696116 is 611696781.

It is a super-2 number, since 2×1876961162 = 70459663922970912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (187696111) 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, 611235 + ... + 611541.

It is an arithmetic number, because the mean of its divisors is an integer number (3727724).

Almost surely, 2187696116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 187696116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268396128).

187696116 is an abundant number, since it is smaller than the sum of its proper divisors (349096140).

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

187696116 is a wasteful number, since it uses less digits than its factorization.

187696116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 366 counting only the distinct ones).

The product of its digits is 108864, while the sum is 45.

The square root of 187696116 is about 13700.2232098605. The cubic root of 187696116 is about 572.5566044348.

The spelling of 187696116 in words is "one hundred eighty-seven million, six hundred ninety-six thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 37 51 54 68 74 81 102 108 111 148 153 162 204 222 243 306 307 324 333 444 459 486 612 614 629 666 918 921 972 999 1228 1258 1332 1377 1836 1842 1887 1998 2516 2754 2763 2997 3684 3774 3996 4131 5219 5508 5526 5661 5994 7548 8262 8289 8991 10438 11052 11322 11359 11988 15657 16524 16578 16983 17982 20876 22644 22718 24867 31314 33156 33966 34077 35964 45436 46971 49734 50949 62628 67932 68154 74601 93942 99468 101898 102231 136308 140913 149202 152847 187884 193103 203796 204462 281826 298404 305694 306693 386206 408924 422739 563652 579309 611388 613386 772412 845478 920079 1158618 1226772 1268217 1690956 1737927 1840158 2317236 2536434 2760237 3475854 3680316 5072868 5213781 5520474 6951708 10427562 11040948 15641343 20855124 31282686 46924029 62565372 93848058 187696116