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1321694112 = 253191674339
BaseRepresentation
bin100111011000111…
…0111001110100000
310102010000000110210
41032301313032200
510201323202422
6335052254120
744516133414
oct11661671640
93363000423
101321694112
11619075392
1230a771340
13180a9252b
14c776ad44
157b07810c
hex4ec773a0

1321694112 has 96 divisors (see below), whose sum is σ = 3674764800. Its totient is φ = 414782208.

The previous prime is 1321694089. The next prime is 1321694113. The reversal of 1321694112 is 2114961231.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1321694112.

It is not an unprimeable number, because it can be changed into a prime (1321694113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 302439 + ... + 306777.

It is an arithmetic number, because the mean of its divisors is an integer number (38278800).

Almost surely, 21321694112 is an apocalyptic number.

1321694112 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 1321694112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1837382400).

1321694112 is an abundant number, since it is smaller than the sum of its proper divisors (2353070688).

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

1321694112 is a wasteful number, since it uses less digits than its factorization.

1321694112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4538 (or 4530 counting only the distinct ones).

The product of its digits is 2592, while the sum is 30.

The square root of 1321694112 is about 36355.1112224952. Note that the first 3 decimals coincide. The cubic root of 1321694112 is about 1097.4303965627.

The spelling of 1321694112 in words is "one billion, three hundred twenty-one million, six hundred ninety-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 167 228 304 334 456 501 608 668 912 1002 1336 1824 2004 2672 3173 4008 4339 5344 6346 8016 8678 9519 12692 13017 16032 17356 19038 25384 26034 34712 38076 50768 52068 69424 76152 82441 101536 104136 138848 152304 164882 208272 247323 304608 329764 416544 494646 659528 724613 989292 1319056 1449226 1978584 2173839 2638112 2898452 3957168 4347678 5796904 7914336 8695356 11593808 13767647 17390712 23187616 27535294 34781424 41302941 55070588 69562848 82605882 110141176 165211764 220282352 330423528 440564704 660847056 1321694112