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660434016 = 253113716903
BaseRepresentation
bin100111010111010…
…110110001100000
31201000201112011010
4213113112301200
52323032342031
6145311220520
722236411414
oct4727266140
91630645133
10660434016
11309885940
12165217740
13a6a98278
14639d8d44
153cea9246
hex275d6c60

660434016 has 96 divisors (see below), whose sum is σ = 1942472448. Its totient is φ = 194711040.

The previous prime is 660433997. The next prime is 660434077. The reversal of 660434016 is 610434066.

660434016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30621 + ... + 47523.

It is an arithmetic number, because the mean of its divisors is an integer number (20234088).

Almost surely, 2660434016 is an apocalyptic number.

660434016 is a gapful number since it is divisible by the number (66) 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 660434016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (971236224).

660434016 is an abundant number, since it is smaller than the sum of its proper divisors (1282038432).

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

660434016 is a wasteful number, since it uses less digits than its factorization.

660434016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16964 (or 16956 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 660434016 is about 25698.9107940395. The cubic root of 660434016 is about 870.8495757009.

The spelling of 660434016 in words is "six hundred sixty million, four hundred thirty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 37 44 48 66 74 88 96 111 132 148 176 222 264 296 352 407 444 528 592 814 888 1056 1184 1221 1628 1776 2442 3256 3552 4884 6512 9768 13024 16903 19536 33806 39072 50709 67612 101418 135224 185933 202836 270448 371866 405672 540896 557799 625411 743732 811344 1115598 1250822 1487464 1622688 1876233 2231196 2501644 2974928 3752466 4462392 5003288 5949856 6879521 7504932 8924784 10006576 13759042 15009864 17849568 20013152 20638563 27518084 30019728 41277126 55036168 60039456 82554252 110072336 165108504 220144672 330217008 660434016