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61140624 = 2432355381
BaseRepresentation
bin1110100100111…
…0111010010000
311021001021011120
43221032322100
5111122444444
610022242240
71341454356
oct351167220
9137037146
1061140624
113156a946
1218586380
13c8891ac
1481977d6
15557ab19
hex3a4ee90

61140624 has 40 divisors (see below), whose sum is σ = 164816832. Its totient is φ = 19493760.

The previous prime is 61140623. The next prime is 61140637. The reversal of 61140624 is 42604116.

61140624 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 (24).

It is a plaindrome in base 5.

It is a zygodrome in base 5.

It is a junction number, because it is equal to n+sod(n) for n = 61140594 and 61140603.

It is not an unprimeable number, because it can be changed into a prime (61140623) 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 7 ways as a sum of consecutive naturals, for example, 26587 + ... + 28794.

Almost surely, 261140624 is an apocalyptic number.

It is an amenable number.

61140624 is an abundant number, since it is smaller than the sum of its proper divisors (103676208).

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

61140624 is a wasteful number, since it uses less digits than its factorization.

61140624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55415 (or 55409 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 61140624 is about 7819.2470225719. The cubic root of 61140624 is about 393.9519812300.

The spelling of 61140624 in words is "sixty-one million, one hundred forty thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 1104 55381 110762 166143 221524 332286 443048 664572 886096 1273763 1329144 2547526 2658288 3821289 5095052 7642578 10190104 15285156 20380208 30570312 61140624