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1660051632 = 2431719910223
BaseRepresentation
bin110001011110010…
…0110000010110000
311021200200100201210
41202330212002300
511344433123012
6432420400120
756065130451
oct14274460260
94250610653
101660051632
117820683a8
123a3b46040
13205c00395
1411a687128
159ab1223c
hex62f260b0

1660051632 has 80 divisors (see below), whose sum is σ = 4563993600. Its totient is φ = 518132736.

The previous prime is 1660051577. The next prime is 1660051633. The reversal of 1660051632 is 2361500661.

It is a self number, because there is not a number n which added to its sum of digits gives 1660051632.

It is not an unprimeable number, because it can be changed into a prime (1660051633) by changing a digit.

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, 157273 + ... + 167495.

It is an arithmetic number, because the mean of its divisors is an integer number (57049920).

Almost surely, 21660051632 is an apocalyptic number.

1660051632 is a gapful number since it is divisible by the number (12) 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 1660051632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2281996800).

1660051632 is an abundant number, since it is smaller than the sum of its proper divisors (2903941968).

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

1660051632 is a wasteful number, since it uses less digits than its factorization.

1660051632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10450 (or 10444 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 1660051632 is about 40743.7311987992. The cubic root of 1660051632 is about 1184.0604234747.

The spelling of 1660051632 in words is "one billion, six hundred sixty million, fifty-one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 199 204 272 398 408 597 796 816 1194 1592 2388 3184 3383 4776 6766 9552 10149 10223 13532 20298 20446 27064 30669 40596 40892 54128 61338 81192 81784 122676 162384 163568 173791 245352 347582 490704 521373 695164 1042746 1390328 2034377 2085492 2780656 4068754 4170984 6103131 8137508 8341968 12206262 16275016 24412524 32550032 34584409 48825048 69168818 97650096 103753227 138337636 207506454 276675272 415012908 553350544 830025816 1660051632