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61270320 = 2435594327
BaseRepresentation
bin1110100110111…
…0100100110000
311021021212002010
43221232210300
5111141122240
610025122520
71342534446
oct351564460
9137255063
1061270320
1131649331
1218629440
13c903237
1481ccb96
1555a4280
hex3a6e930

61270320 has 80 divisors (see below), whose sum is σ = 193201920. Its totient is φ = 16058112.

The previous prime is 61270303. The next prime is 61270331. The reversal of 61270320 is 2307216.

It is a happy number.

61270320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×612703202 = 7508104225804800, which contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 11997 + ... + 16323.

It is an arithmetic number, because the mean of its divisors is an integer number (2415024).

Almost surely, 261270320 is an apocalyptic number.

61270320 is a gapful number since it is divisible by the number (60) 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 61270320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96600960).

61270320 is an abundant number, since it is smaller than the sum of its proper divisors (131931600).

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

61270320 is a wasteful number, since it uses less digits than its factorization.

61270320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4402 (or 4396 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 61270320 is about 7827.5360107763. The cubic root of 61270320 is about 394.2303444917.

Adding to 61270320 its reverse (2307216), we get a palindrome (63577536).

The spelling of 61270320 in words is "sixty-one million, two hundred seventy thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 59 60 80 118 120 177 236 240 295 354 472 590 708 885 944 1180 1416 1770 2360 2832 3540 4327 4720 7080 8654 12981 14160 17308 21635 25962 34616 43270 51924 64905 69232 86540 103848 129810 173080 207696 255293 259620 346160 510586 519240 765879 1021172 1038480 1276465 1531758 2042344 2552930 3063516 3829395 4084688 5105860 6127032 7658790 10211720 12254064 15317580 20423440 30635160 61270320