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272362420 = 225119712763
BaseRepresentation
bin10000001110111…
…110101110110100
3200222111110000001
4100032332232310
51024211044140
643005401044
76515020351
oct2016765664
9628443001
10272362420
1112a817a10
1277269184
13445721c5
142825b628
1518d9ee9a
hex103bebb4

272362420 has 48 divisors (see below), whose sum is σ = 630439488. Its totient is φ = 98012160.

The previous prime is 272362411. The next prime is 272362429. The reversal of 272362420 is 24263272.

It is an interprime number because it is at equal distance from previous prime (272362411) and next prime (272362429).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272362429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14959 + ... + 27721.

It is an arithmetic number, because the mean of its divisors is an integer number (13134156).

Almost surely, 2272362420 is an apocalyptic number.

272362420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272362420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315219744).

272362420 is an abundant number, since it is smaller than the sum of its proper divisors (358077068).

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

272362420 is a wasteful number, since it uses less digits than its factorization.

272362420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12880 (or 12878 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

The square root of 272362420 is about 16503.4063150611. The cubic root of 272362420 is about 648.2100021740.

The spelling of 272362420 in words is "two hundred seventy-two million, three hundred sixty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 97 110 194 220 388 485 970 1067 1940 2134 4268 5335 10670 12763 21340 25526 51052 63815 127630 140393 255260 280786 561572 701965 1238011 1403930 2476022 2807860 4952044 6190055 12380110 13618121 24760220 27236242 54472484 68090605 136181210 272362420