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272156440 = 235311391579
BaseRepresentation
bin10000001110001…
…100011100011000
3200222002222110011
4100032030130120
51024133001230
643001131304
76513202003
oct2016143430
9628088404
10272156440
1112a697186
1277189b34
13444cc51a
142820653a
1518d5de2a
hex1038c718

272156440 has 64 divisors (see below), whose sum is σ = 637056000. Its totient is φ = 104526720.

The previous prime is 272156413. The next prime is 272156449. The reversal of 272156440 is 44651272.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272156449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171571 + ... + 173149.

It is an arithmetic number, because the mean of its divisors is an integer number (9954000).

Almost surely, 2272156440 is an apocalyptic number.

272156440 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 272156440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318528000).

272156440 is an abundant number, since it is smaller than the sum of its proper divisors (364899560).

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

272156440 is a wasteful number, since it uses less digits than its factorization.

272156440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1760 (or 1756 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The square root of 272156440 is about 16497.1646048647. The cubic root of 272156440 is about 648.0465533287.

The spelling of 272156440 in words is "two hundred seventy-two million, one hundred fifty-six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 139 155 248 278 310 556 620 695 1112 1240 1390 1579 2780 3158 4309 5560 6316 7895 8618 12632 15790 17236 21545 31580 34472 43090 48949 63160 86180 97898 172360 195796 219481 244745 391592 438962 489490 877924 978980 1097405 1755848 1957960 2194810 4389620 6803911 8779240 13607822 27215644 34019555 54431288 68039110 136078220 272156440