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272882106 = 232712717053
BaseRepresentation
bin10000010000111…
…101100110111010
3201000110211212200
4100100331212322
51024324211411
643024451030
76522313440
oct2020754672
9630424780
10272882106
11130042402
1277479a76
13446c4903
1428354b90
1518e53e56
hex1043d9ba

272882106 has 48 divisors (see below), whose sum is σ = 681068544. Its totient is φ = 77347872.

The previous prime is 272882063. The next prime is 272882111. The reversal of 272882106 is 601288272.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7476 + ... + 24528.

It is an arithmetic number, because the mean of its divisors is an integer number (14188928).

Almost surely, 2272882106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272882106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340534272).

272882106 is an abundant number, since it is smaller than the sum of its proper divisors (408186438).

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

272882106 is a wasteful number, since it uses less digits than its factorization.

272882106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17195 (or 17192 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 272882106 is about 16519.1436218710. The cubic root of 272882106 is about 648.6220164744.

The spelling of 272882106 in words is "two hundred seventy-two million, eight hundred eighty-two thousand, one hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 127 254 381 762 889 1143 1778 2286 2667 5334 8001 16002 17053 34106 51159 102318 119371 153477 238742 306954 358113 716226 1074339 2148678 2165731 4331462 6497193 12994386 15160117 19491579 30320234 38983158 45480351 90960702 136441053 272882106