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61620520 = 23513163727
BaseRepresentation
bin1110101100010…
…0000100101000
311021221122110111
43223010010220
5111233324040
610040424104
71345523443
oct353040450
9137848414
1061620520
1131868455
1218778034
13c9c6760
14828065a
155622dea
hex3ac4128

61620520 has 64 divisors (see below), whose sum is σ = 150433920. Its totient is φ = 22581504.

The previous prime is 61620497. The next prime is 61620539. The reversal of 61620520 is 2502616.

It is a junction number, because it is equal to n+sod(n) for n = 61620491 and 61620500.

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, 84397 + ... + 85123.

It is an arithmetic number, because the mean of its divisors is an integer number (2350530).

Almost surely, 261620520 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 61620520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75216960).

61620520 is an abundant number, since it is smaller than the sum of its proper divisors (88813400).

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

61620520 is a wasteful number, since it uses less digits than its factorization.

61620520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 61620520 is about 7849.8738843373. The cubic root of 61620520 is about 394.9800128753.

It can be divided in two parts, 616205 and 20, that added together give a square (616225 = 7852).

The spelling of 61620520 in words is "sixty-one million, six hundred twenty thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 163 260 326 520 652 727 815 1304 1454 1630 2119 2908 3260 3635 4238 5816 6520 7270 8476 9451 10595 14540 16952 18902 21190 29080 37804 42380 47255 75608 84760 94510 118501 189020 237002 378040 474004 592505 948008 1185010 1540513 2370020 3081026 4740040 6162052 7702565 12324104 15405130 30810260 61620520