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272054106 = 233411031193
BaseRepresentation
bin10000001101110…
…011011101011010
3200221220210002000
4100031303131122
51024121212411
642555021430
76512264442
oct2015633532
9627823060
10272054106
1112a627305
127713a876
1344494a7c
14281bb122
1518d3d956
hex1037375a

272054106 has 64 divisors (see below), whose sum is σ = 625847040. Its totient is φ = 87540480.

The previous prime is 272054099. The next prime is 272054203. The reversal of 272054106 is 601450272.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 272054106.

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, 227446 + ... + 228638.

It is an arithmetic number, because the mean of its divisors is an integer number (9778860).

Almost surely, 2272054106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272054106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312923520).

272054106 is an abundant number, since it is smaller than the sum of its proper divisors (353792934).

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

272054106 is a wasteful number, since it uses less digits than its factorization.

272054106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 272054106 is about 16494.0627499716. The cubic root of 272054106 is about 647.9653187886.

The spelling of 272054106 in words is "two hundred seventy-two million, fifty-four thousand, one hundred six".

Divisors: 1 2 3 6 9 18 27 41 54 82 103 123 206 246 309 369 618 738 927 1107 1193 1854 2214 2386 2781 3579 4223 5562 7158 8446 10737 12669 21474 25338 32211 38007 48913 64422 76014 97826 114021 122879 146739 228042 245758 293478 368637 440217 737274 880434 1105911 1320651 2211822 2641302 3317733 5038039 6635466 10076078 15114117 30228234 45342351 90684702 136027053 272054106