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187939164 = 223723891093
BaseRepresentation
bin10110011001110…
…11100101011100
3111002122022001210
423030323211130
5341103023124
630352104420
74441312410
oct1314734534
9432568053
10187939164
11970a5526
1252b35110
132cc2370a
141ad62d40
1511775a29
hexb33b95c

187939164 has 96 divisors (see below), whose sum is σ = 529320960. Its totient is φ = 50738688.

The previous prime is 187939159. The next prime is 187939207. The reversal of 187939164 is 461939781.

It is a happy number.

187939164 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1879391642 = 70642258730037792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 171402 + ... + 172494.

It is an arithmetic number, because the mean of its divisors is an integer number (5513760).

Almost surely, 2187939164 is an apocalyptic number.

187939164 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 187939164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264660480).

187939164 is an abundant number, since it is smaller than the sum of its proper divisors (341381796).

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

187939164 is a wasteful number, since it uses less digits than its factorization.

187939164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1219 (or 1217 counting only the distinct ones).

The product of its digits is 326592, while the sum is 48.

The square root of 187939164 is about 13709.0905606462. The cubic root of 187939164 is about 572.8036326598.

The spelling of 187939164 in words is "one hundred eighty-seven million, nine hundred thirty-nine thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 89 92 138 161 178 267 276 322 356 483 534 623 644 966 1068 1093 1246 1869 1932 2047 2186 2492 3279 3738 4094 4372 6141 6558 7476 7651 8188 12282 13116 14329 15302 22953 24564 25139 28658 30604 42987 45906 50278 57316 75417 85974 91812 97277 100556 150834 171948 175973 194554 291831 301668 351946 389108 527919 583662 680939 703892 1055838 1167324 1361878 2042817 2111676 2237371 2723756 4085634 4474742 6712113 8171268 8949484 13424226 15661597 26848452 31323194 46984791 62646388 93969582 187939164