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661495680 = 2733538281
BaseRepresentation
bin100111011011011…
…001111110000000
31201002201110111000
4213123121332000
52323320330210
6145350052000
722251422556
oct4733317600
91632643430
10661495680
1130a44054a
1216564a000
13a707a581
1463bd3bd6
153d118ac0
hex276d9f80

661495680 has 128 divisors (see below), whose sum is σ = 2342858400. Its totient is φ = 176394240.

The previous prime is 661495673. The next prime is 661495699. The reversal of 661495680 is 86594166.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 1861 + ... + 36420.

Almost surely, 2661495680 is an apocalyptic number.

661495680 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 661495680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1171429200).

661495680 is an abundant number, since it is smaller than the sum of its proper divisors (1681362720).

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

661495680 is a wasteful number, since it uses less digits than its factorization.

661495680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38309 (or 38291 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 661495680 is about 25719.5583165808. The cubic root of 661495680 is about 871.3159632841.

The spelling of 661495680 in words is "six hundred sixty-one million, four hundred ninety-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 270 288 320 360 384 432 480 540 576 640 720 864 960 1080 1152 1440 1728 1920 2160 2880 3456 4320 5760 8640 17280 38281 76562 114843 153124 191405 229686 306248 344529 382810 459372 574215 612496 689058 765620 918744 1033587 1148430 1224992 1378116 1531240 1722645 1837488 2067174 2296860 2449984 2756232 3062480 3445290 3674976 4134348 4593720 4899968 5167935 5512464 6124960 6890580 7349952 8268696 9187440 10335870 11024928 12249920 13781160 14699904 16537392 18374880 20671740 22049856 24499840 27562320 33074784 36749760 41343480 44099712 55124640 66149568 73499520 82686960 110249280 132299136 165373920 220498560 330747840 661495680