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61380072 = 23331321859
BaseRepresentation
bin1110101000100…
…1010111101000
311021111102122000
43222021113220
5111203130242
610031331000
71343502435
oct352112750
9137442560
1061380072
1131713836
1218680a60
13c941190
14821ab8c
1555c6a4c
hex3a895e8

61380072 has 64 divisors (see below), whose sum is σ = 183624000. Its totient is φ = 18885312.

The previous prime is 61380071. The next prime is 61380097. The reversal of 61380072 is 27008316.

61380072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (61380071) 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 15 ways as a sum of consecutive naturals, for example, 8122 + ... + 13737.

It is an arithmetic number, because the mean of its divisors is an integer number (2869125).

Almost surely, 261380072 is an apocalyptic number.

It is an amenable number.

61380072 is an abundant number, since it is smaller than the sum of its proper divisors (122243928).

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

61380072 is a wasteful number, since it uses less digits than its factorization.

61380072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21887 (or 21877 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 61380072 is about 7834.5435093565. The cubic root of 61380072 is about 394.4655957506.

Adding to 61380072 its reverse (27008316), we get a palindrome (88388388).

The spelling of 61380072 in words is "sixty-one million, three hundred eighty thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 2808 21859 43718 65577 87436 131154 174872 196731 262308 284167 393462 524616 568334 590193 786924 852501 1136668 1180386 1573848 1705002 2273336 2360772 2557503 3410004 4721544 5115006 6820008 7672509 10230012 15345018 20460024 30690036 61380072