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272670138 = 23413433011
BaseRepresentation
bin10000010000001…
…001110110111010
3201000002002010000
4100100021312322
51024300421023
643020133430
76520441446
oct2020116672
9630062100
10272670138
1112aa08124
1277397276
134464c2a0
14282db826
1518e11243
hex10409dba

272670138 has 80 divisors (see below), whose sum is σ = 673507296. Its totient is φ = 81920160.

The previous prime is 272670137. The next prime is 272670161. The reversal of 272670138 is 831076272.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (272670137) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 89053 + ... + 92063.

Almost surely, 2272670138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272670138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336753648).

272670138 is an abundant number, since it is smaller than the sum of its proper divisors (400837158).

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

272670138 is a wasteful number, since it uses less digits than its factorization.

272670138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3081 (or 3072 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 272670138 is about 16512.7265465156. The cubic root of 272670138 is about 648.4540285133.

The spelling of 272670138 in words is "two hundred seventy-two million, six hundred seventy thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 13 18 26 27 39 43 54 78 81 86 117 129 162 234 258 351 387 559 702 774 1053 1118 1161 1677 2106 2322 3011 3354 3483 5031 6022 6966 9033 10062 15093 18066 27099 30186 39143 45279 54198 78286 81297 90558 117429 129473 162594 234858 243891 258946 352287 388419 487782 704574 776838 1056861 1165257 1683149 2113722 2330514 3170583 3366298 3495771 5049447 6341166 6991542 10098894 10487313 15148341 20974626 30296682 45445023 90890046 136335069 272670138