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61131516 = 22323613631
BaseRepresentation
bin1110100100110…
…0101011111100
311021000210200020
43221030223330
5111122202031
610022132140
71341415665
oct351145374
9137023606
1061131516
1131564016
1218581050
13c884cc4
14819436c
155578096
hex3a4cafc

61131516 has 48 divisors (see below), whose sum is σ = 151323648. Its totient is φ = 19166400.

The previous prime is 61131487. The next prime is 61131527. The reversal of 61131516 is 61513116.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15021 + ... + 18651.

It is an arithmetic number, because the mean of its divisors is an integer number (3152576).

Almost surely, 261131516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61131516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75661824).

61131516 is an abundant number, since it is smaller than the sum of its proper divisors (90192132).

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

61131516 is a wasteful number, since it uses less digits than its factorization.

61131516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3722 (or 3720 counting only the distinct ones).

The product of its digits is 540, while the sum is 24.

The square root of 61131516 is about 7818.6645918597. The cubic root of 61131516 is about 393.9324181714.

The spelling of 61131516 in words is "sixty-one million, one hundred thirty-one thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 12 23 46 61 69 92 122 138 183 244 276 366 732 1403 2806 3631 4209 5612 7262 8418 10893 14524 16836 21786 43572 83513 167026 221491 250539 334052 442982 501078 664473 885964 1002156 1328946 2657892 5094293 10188586 15282879 20377172 30565758 61131516