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189537138 = 23373891289
BaseRepresentation
bin10110100110000…
…01101101110010
3111012122111002000
423103001231302
5342010142023
630450234430
74461016260
oct1323015562
9435574060
10189537138
1197a9706a
1253585a16
1330362b6b
141b25b430
151198e243
hexb4c1b72

189537138 has 64 divisors (see below), whose sum is σ = 482976000. Its totient is φ = 53972352.

The previous prime is 189537121. The next prime is 189537167. The reversal of 189537138 is 831735981.

189537138 is a `hidden beast` number, since 1 + 89 + 537 + 1 + 38 = 666.

189537138 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 189537093 and 189537102.

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, 146398 + ... + 147686.

It is an arithmetic number, because the mean of its divisors is an integer number (7546500).

Almost surely, 2189537138 is an apocalyptic number.

189537138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 189537138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241488000).

189537138 is an abundant number, since it is smaller than the sum of its proper divisors (293438862).

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

189537138 is a wasteful number, since it uses less digits than its factorization.

189537138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1696 (or 1690 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 189537138 is about 13767.2487447565. The cubic root of 189537138 is about 574.4224956629.

The spelling of 189537138 in words is "one hundred eighty-nine million, five hundred thirty-seven thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 389 778 1167 1289 2334 2578 2723 3501 3867 5446 7002 7734 8169 9023 10503 11601 16338 18046 21006 23202 24507 27069 34803 49014 54138 69606 73521 81207 147042 162414 243621 487242 501421 1002842 1504263 3008526 3509947 4512789 7019894 9025578 10529841 13538367 21059682 27076734 31589523 63179046 94768569 189537138