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272311020 = 223258631753
BaseRepresentation
bin10000001110110…
…010001011101100
3200222101211111100
4100032302023230
51024202423040
643004323100
76514414452
oct2016621354
9628354440
10272311020
1112a792333
1277243490
13445549a7
14282469d2
1518d8eb30
hex103b22ec

272311020 has 72 divisors (see below), whose sum is σ = 827438976. Its totient is φ = 72490752.

The previous prime is 272311001. The next prime is 272311027. The reversal of 272311020 is 20113272.

It is a super-2 number, since 2×2723110202 = 148306583226880800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 272310984 and 272311002.

It is not an unprimeable number, because it can be changed into a prime (272311027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154464 + ... + 156216.

It is an arithmetic number, because the mean of its divisors is an integer number (11492208).

Almost surely, 2272311020 is an apocalyptic number.

272311020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

272311020 is an abundant number, since it is smaller than the sum of its proper divisors (555127956).

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

272311020 is a wasteful number, since it uses less digits than its factorization.

272311020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2631 (or 2626 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 272311020 is about 16501.8489873105. The cubic root of 272311020 is about 648.1692230652.

Adding to 272311020 its reverse (20113272), we get a palindrome (292424292).

The spelling of 272311020 in words is "two hundred seventy-two million, three hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 863 1726 1753 2589 3452 3506 4315 5178 5259 7012 7767 8630 8765 10356 10518 12945 15534 15777 17260 17530 21036 25890 26295 31068 31554 35060 38835 51780 52590 63108 77670 78885 105180 155340 157770 315540 1512839 3025678 4538517 6051356 7564195 9077034 13615551 15128390 18154068 22692585 27231102 30256780 45385170 54462204 68077755 90770340 136155510 272311020