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60513920 = 275234111
BaseRepresentation
bin1110011011010…
…1111010000000
311012212102111022
43212311322000
5110442421140
610001005012
71333234265
oct346657200
9135772438
1060513920
1131182005
1218323768
13c6c9b6c
14807326c
1554a50b5
hex39b5e80

60513920 has 64 divisors (see below), whose sum is σ = 150992640. Its totient is φ = 23147520.

The previous prime is 60513899. The next prime is 60513941. The reversal of 60513920 is 2931506.

60513920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (60513899) and next prime (60513941).

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 60513920.

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 7 ways as a sum of consecutive naturals, for example, 12665 + ... + 16775.

It is an arithmetic number, because the mean of its divisors is an integer number (2359260).

Almost surely, 260513920 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 60513920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75496320).

60513920 is an abundant number, since it is smaller than the sum of its proper divisors (90478720).

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

60513920 is a wasteful number, since it uses less digits than its factorization.

60513920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4153 (or 4141 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 26.

The square root of 60513920 is about 7779.0693530782. The cubic root of 60513920 is about 392.6013261597.

The spelling of 60513920 in words is "sixty million, five hundred thirteen thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 320 368 460 640 736 920 1472 1840 2944 3680 4111 7360 8222 14720 16444 20555 32888 41110 65776 82220 94553 131552 164440 189106 263104 328880 378212 472765 526208 657760 756424 945530 1315520 1512848 1891060 2631040 3025696 3782120 6051392 7564240 12102784 15128480 30256960 60513920