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272149040 = 24527112553
BaseRepresentation
bin10000001110001…
…010101000110000
3200222002121022002
4100032022220300
51024132232130
643001033132
76513141302
oct2016125060
9628077262
10272149040
1112a691669
12771857a8
13444c9047
1428203972
1518d5bb45
hex1038aa30

272149040 has 40 divisors (see below), whose sum is σ = 635131968. Its totient is φ = 108449280.

The previous prime is 272149019. The next prime is 272149063. The reversal of 272149040 is 40941272.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 272148994 and 272149012.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15404 + ... + 27956.

Almost surely, 2272149040 is an apocalyptic number.

272149040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

272149040 is an abundant number, since it is smaller than the sum of its proper divisors (362982928).

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

272149040 is a wasteful number, since it uses less digits than its factorization.

272149040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12837 (or 12831 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 272149040 is about 16496.9403223749. The cubic root of 272149040 is about 648.0406797609.

The spelling of 272149040 in words is "two hundred seventy-two million, one hundred forty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 271 542 1084 1355 2168 2710 4336 5420 10840 12553 21680 25106 50212 62765 100424 125530 200848 251060 502120 1004240 3401863 6803726 13607452 17009315 27214904 34018630 54429808 68037260 136074520 272149040