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60956820 = 22335157719
BaseRepresentation
bin1110100010001…
…0000010010100
311020200221001000
43220202002110
5111101104240
610014303300
71340060451
oct350420224
9136627030
1060956820
1131454841
12184b7b30
13c823632
14814a828
155541430
hex3a22094

60956820 has 96 divisors (see below), whose sum is σ = 191116800. Its totient is φ = 16129152.

The previous prime is 60956809. The next prime is 60956821. The reversal of 60956820 is 2865906.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60956821) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84421 + ... + 85139.

It is an arithmetic number, because the mean of its divisors is an integer number (1990800).

Almost surely, 260956820 is an apocalyptic number.

60956820 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60956820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95558400).

60956820 is an abundant number, since it is smaller than the sum of its proper divisors (130159980).

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

60956820 is a wasteful number, since it uses less digits than its factorization.

60956820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 60956820 is about 7807.4848703023. The cubic root of 60956820 is about 393.5568122602.

It can be divided in two parts, 60956 and 820, that added together give a triangular number (61776 = T351).

The spelling of 60956820 in words is "sixty million, nine hundred fifty-six thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 157 180 270 314 471 540 628 719 785 942 1413 1438 1570 1884 2157 2355 2826 2876 3140 3595 4239 4314 4710 5652 6471 7065 7190 8478 8628 9420 10785 12942 14130 14380 16956 19413 21195 21570 25884 28260 32355 38826 42390 43140 64710 77652 84780 97065 112883 129420 194130 225766 338649 388260 451532 564415 677298 1015947 1128830 1354596 1693245 2031894 2257660 3047841 3386490 4063788 5079735 6095682 6772980 10159470 12191364 15239205 20318940 30478410 60956820