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61504014 = 23111397739
BaseRepresentation
bin1110101010011…
…1101000001110
311021201201122110
43222213220032
5111221112024
610034124450
71344526665
oct352475016
9137651573
1061504014
1131798970
1218720726
13c985710
14824dddc
1555ed629
hex3aa7a0e

61504014 has 64 divisors (see below), whose sum is σ = 146200320. Its totient is φ = 17003520.

The previous prime is 61503989. The next prime is 61504039. The reversal of 61504014 is 41040516.

It is an interprime number because it is at equal distance from previous prime (61503989) and next prime (61504039).

It is a super-2 number, since 2×615040142 = 7565487476224392, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82857 + ... + 83595.

It is an arithmetic number, because the mean of its divisors is an integer number (2284380).

Almost surely, 261504014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61504014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73100160).

61504014 is an abundant number, since it is smaller than the sum of its proper divisors (84696306).

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

61504014 is a wasteful number, since it uses less digits than its factorization.

61504014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 61504014 is about 7842.4494897959. The cubic root of 61504014 is about 394.7309260793.

The spelling of 61504014 in words is "sixty-one million, five hundred four thousand, fourteen".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 97 143 194 286 291 429 582 739 858 1067 1261 1478 2134 2217 2522 3201 3783 4434 6402 7566 8129 9607 13871 16258 19214 24387 27742 28821 41613 48774 57642 71683 83226 105677 143366 211354 215049 317031 430098 634062 788513 931879 1577026 1863758 2365539 2795637 4731078 5591274 10250669 20501338 30752007 61504014