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661165440 = 27351326489
BaseRepresentation
bin100111011010001…
…001010110000000
31201002002200110220
4213122021112000
52323224243230
6145335023040
722245546015
oct4732112600
91632080426
10661165440
1130a235421
1216550aa80
13a6c93170
1463b4970c
153d0a0d10
hex27689580

661165440 has 128 divisors (see below), whose sum is σ = 2269663200. Its totient is φ = 162742272.

The previous prime is 661165399. The next prime is 661165487. The reversal of 661165440 is 44561166.

It is a happy number.

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

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, 11716 + ... + 38204.

Almost surely, 2661165440 is an apocalyptic number.

661165440 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 661165440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1134831600).

661165440 is an abundant number, since it is smaller than the sum of its proper divisors (1608497760).

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

661165440 is a wasteful number, since it uses less digits than its factorization.

661165440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26524 (or 26512 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 661165440 is about 25713.1374981740. The cubic root of 661165440 is about 871.1709427952.

The spelling of 661165440 in words is "six hundred sixty-one million, one hundred sixty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 260 312 320 384 390 416 480 520 624 640 780 832 960 1040 1248 1560 1664 1920 2080 2496 3120 4160 4992 6240 8320 12480 24960 26489 52978 79467 105956 132445 158934 211912 264890 317868 344357 397335 423824 529780 635736 688714 794670 847648 1033071 1059560 1271472 1377428 1589340 1695296 1721785 2066142 2119120 2542944 2754856 3178680 3390592 3443570 4132284 4238240 5085888 5165355 5509712 6357360 6887140 8264568 8476480 10171776 10330710 11019424 12714720 13774280 16529136 16952960 20661420 22038848 25429440 27548560 33058272 41322840 44077696 50858880 55097120 66116544 82645680 110194240 132233088 165291360 220388480 330582720 661165440