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61365096 = 233213531237
BaseRepresentation
bin1110101000010…
…1101101101000
311021110200002100
43222011231220
5111202140341
610031133400
71343410662
oct352055550
9137420070
1061365096
1131703561
1218674260
13c937410
148215532
1555c23b6
hex3a85b68

61365096 has 96 divisors (see below), whose sum is σ = 182505960. Its totient is φ = 18510336.

The previous prime is 61365071. The next prime is 61365097. The reversal of 61365096 is 69056316.

61365096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 54552996 + 6812100 = 7386^2 + 2610^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 61365096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61365097) 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 23 ways as a sum of consecutive naturals, for example, 48990 + ... + 50226.

Almost surely, 261365096 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 61365096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91252980).

61365096 is an abundant number, since it is smaller than the sum of its proper divisors (121140864).

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

61365096 is a wasteful number, since it uses less digits than its factorization.

61365096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 61365096 is about 7833.5876838138. The cubic root of 61365096 is about 394.4335115193.

The spelling of 61365096 in words is "sixty-one million, three hundred sixty-five thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 53 72 78 104 106 117 156 159 212 234 312 318 424 468 477 636 689 936 954 1237 1272 1378 1908 2067 2474 2756 3711 3816 4134 4948 5512 6201 7422 8268 9896 11133 12402 14844 16081 16536 22266 24804 29688 32162 44532 48243 49608 64324 65561 89064 96486 128648 131122 144729 192972 196683 262244 289458 385944 393366 524488 578916 590049 786732 852293 1157832 1180098 1573464 1704586 2360196 2556879 3409172 4720392 5113758 6818344 7670637 10227516 15341274 20455032 30682548 61365096