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61056840 = 23351339139
BaseRepresentation
bin1110100011101…
…0011101001000
311020220000020110
43220322131020
5111112304330
610020354320
71340655165
oct350723510
9136800213
1061056840
11315129a9
12185459a0
13c85a010
14817506c
155560db0
hex3a3a748

61056840 has 64 divisors (see below), whose sum is σ = 197265600. Its totient is φ = 15028992.

The previous prime is 61056839. The next prime is 61056857. The reversal of 61056840 is 4865016.

61056840 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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 61056798 and 61056807.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 18010 + ... + 21129.

It is an arithmetic number, because the mean of its divisors is an integer number (3082275).

Almost surely, 261056840 is an apocalyptic number.

61056840 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61056840 is an abundant number, since it is smaller than the sum of its proper divisors (136208760).

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

61056840 is a wasteful number, since it uses less digits than its factorization.

61056840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39166 (or 39162 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 61056840 is about 7813.8876367657. The cubic root of 61056840 is about 393.7719483860.

The spelling of 61056840 in words is "sixty-one million, fifty-six thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 39139 78278 117417 156556 195695 234834 313112 391390 469668 508807 587085 782780 939336 1017614 1174170 1526421 1565560 2035228 2348340 2544035 3052842 4070456 4696680 5088070 6105684 7632105 10176140 12211368 15264210 20352280 30528420 61056840