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690480112 = 24731712801
BaseRepresentation
bin101001001001111…
…110001111110000
31210010021000122111
4221021332033300
52403230330422
6152303215104
723052661360
oct5111761760
91703230574
10690480112
11324837a23
121732a7494
13b008821a
14679ba9a0
1540941a77
hex2927e3f0

690480112 has 80 divisors (see below), whose sum is σ = 1601040384. Its totient is φ = 282240000.

The previous prime is 690480031. The next prime is 690480151. The reversal of 690480112 is 211084096.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (31).

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, 245112 + ... + 247912.

Almost surely, 2690480112 is an apocalyptic number.

690480112 is a gapful number since it is divisible by the number (62) 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 690480112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800520192).

690480112 is an abundant number, since it is smaller than the sum of its proper divisors (910560272).

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

690480112 is a wasteful number, since it uses less digits than its factorization.

690480112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2918 (or 2912 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 690480112 is about 26276.9882596922. The cubic root of 690480112 is about 883.8604981781.

The spelling of 690480112 in words is "six hundred ninety million, four hundred eighty thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 71 112 124 142 217 248 284 434 496 497 568 868 994 1136 1736 1988 2201 2801 3472 3976 4402 5602 7952 8804 11204 15407 17608 19607 22408 30814 35216 39214 44816 61628 78428 86831 123256 156856 173662 198871 246512 313712 347324 397742 607817 694648 795484 1215634 1389296 1392097 1590968 2431268 2784194 3181936 4862536 5568388 6165001 9725072 11136776 12330002 22273552 24660004 43155007 49320008 86310014 98640016 172620028 345240056 690480112