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661277280 = 25355632447
BaseRepresentation
bin100111011010100…
…100101001100000
31201002022100220010
4213122210221200
52323241333110
6145341244520
722246523046
oct4732445140
91632270803
10661277280
1130a301454
12165563740
13a7002041
1463b78396
153d0c4020
hex276a4a60

661277280 has 96 divisors (see below), whose sum is σ = 2087576064. Its totient is φ = 175955456.

The previous prime is 661277269. The next prime is 661277297. The reversal of 661277280 is 82772166.

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

It is a congruent number.

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, 269017 + ... + 271463.

It is an arithmetic number, because the mean of its divisors is an integer number (21745584).

Almost surely, 2661277280 is an apocalyptic number.

661277280 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 661277280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1043788032).

661277280 is an abundant number, since it is smaller than the sum of its proper divisors (1426298784).

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

661277280 is a wasteful number, since it uses less digits than its factorization.

661277280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3028 (or 3020 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 661277280 is about 25715.3121699893. The cubic root of 661277280 is about 871.2200612454.

The spelling of 661277280 in words is "six hundred sixty-one million, two hundred seventy-seven thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 563 1126 1689 2252 2447 2815 3378 4504 4894 5630 6756 7341 8445 9008 9788 11260 12235 13512 14682 16890 18016 19576 22520 24470 27024 29364 33780 36705 39152 45040 48940 54048 58728 67560 73410 78304 90080 97880 117456 135120 146820 195760 234912 270240 293640 391520 587280 1174560 1377661 2755322 4132983 5510644 6888305 8265966 11021288 13776610 16531932 20664915 22042576 27553220 33063864 41329830 44085152 55106440 66127728 82659660 110212880 132255456 165319320 220425760 330638640 661277280