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61343136 = 253370999
BaseRepresentation
bin1110101000000…
…0010110100000
311021102112222000
43222000112200
5111200440021
610030444000
71343256651
oct352002640
9137375860
1061343136
1131699008
1218663600
13c92a41a
14820b528
1555bab26
hex3a805a0

61343136 has 48 divisors (see below), whose sum is σ = 178920000. Its totient is φ = 20447424.

The previous prime is 61343111. The next prime is 61343137. The reversal of 61343136 is 63134316.

61343136 is a `hidden beast` number, since 613 + 43 + 1 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (61343137) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34636 + ... + 36363.

It is an arithmetic number, because the mean of its divisors is an integer number (3727500).

Almost surely, 261343136 is an apocalyptic number.

It is an amenable number.

61343136 is an abundant number, since it is smaller than the sum of its proper divisors (117576864).

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

61343136 is a wasteful number, since it uses less digits than its factorization.

61343136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71018 (or 71004 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 61343136 is about 7832.1859017774. The cubic root of 61343136 is about 394.3864554896.

The spelling of 61343136 in words is "sixty-one million, three hundred forty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 70999 141998 212997 283996 425994 567992 638991 851988 1135984 1277982 1703976 1916973 2271968 2555964 3407952 3833946 5111928 6815904 7667892 10223856 15335784 20447712 30671568 61343136