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187314116 = 221123271683
BaseRepresentation
bin10110010101000…
…10111111000100
3111001110112122212
423022202333010
5340423022431
630330442552
74433100203
oct1312427704
9431415585
10187314116
1196808960
1252893458
132ca65072
141ac3d23a
15116a072b
hexb2a2fc4

187314116 has 48 divisors (see below), whose sum is σ = 375072768. Its totient is φ = 81021600.

The previous prime is 187314107. The next prime is 187314119. The reversal of 187314116 is 611413781.

187314116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1873141163 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (187314119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 273911 + ... + 274593.

It is an arithmetic number, because the mean of its divisors is an integer number (7814016).

Almost surely, 2187314116 is an apocalyptic number.

It is an amenable number.

187314116 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

187314116 is a wasteful number, since it uses less digits than its factorization.

187314116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992 (or 990 counting only the distinct ones).

The product of its digits is 4032, while the sum is 32.

The square root of 187314116 is about 13686.2747305467. The cubic root of 187314116 is about 572.1679173498.

Adding to 187314116 its reverse (611413781), we get a palindrome (798727897).

The spelling of 187314116 in words is "one hundred eighty-seven million, three hundred fourteen thousand, one hundred sixteen".

Divisors: 1 2 4 11 22 23 44 46 92 253 271 506 542 683 1012 1084 1366 2732 2981 5962 6233 7513 11924 12466 15026 15709 24932 30052 31418 62836 68563 137126 172799 185093 274252 345598 370186 691196 740372 2036023 4072046 4257139 8144092 8514278 17028556 46828529 93657058 187314116