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661386720 = 25358111699
BaseRepresentation
bin100111011010111…
…111010111100000
31201002111221000110
4213122333113200
52323303333340
6145343451320
722250460111
oct4732772740
91632457013
10661386720
1130a3766a5
121655b6b40
13a703cab7
1463ba6208
153d0e6680
hex276bf5e0

661386720 has 96 divisors (see below), whose sum is σ = 2087164800. Its totient is φ = 176048640.

The previous prime is 661386709. The next prime is 661386727. The reversal of 661386720 is 27683166.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (661386727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 388431 + ... + 390129.

It is an arithmetic number, because the mean of its divisors is an integer number (21741300).

Almost surely, 2661386720 is an apocalyptic number.

661386720 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 661386720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1043582400).

661386720 is an abundant number, since it is smaller than the sum of its proper divisors (1425778080).

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

661386720 is a wasteful number, since it uses less digits than its factorization.

661386720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2528 (or 2520 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 661386720 is about 25717.4399970137. The cubic root of 661386720 is about 871.2681202906.

The spelling of 661386720 in words is "six hundred sixty-one million, three hundred eighty-six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 811 1622 1699 2433 3244 3398 4055 4866 5097 6488 6796 8110 8495 9732 10194 12165 12976 13592 16220 16990 19464 20388 24330 25485 25952 27184 32440 33980 38928 40776 48660 50970 54368 64880 67960 77856 81552 97320 101940 129760 135920 163104 194640 203880 271840 389280 407760 815520 1377889 2755778 4133667 5511556 6889445 8267334 11023112 13778890 16534668 20668335 22046224 27557780 33069336 41336670 44092448 55115560 66138672 82673340 110231120 132277344 165346680 220462240 330693360 661386720