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690091992 = 233231417541
BaseRepresentation
bin101001001000011…
…111011111011000
31210002112022020200
4221020133133120
52403130420432
6152251022200
723046454002
oct5110373730
91702468220
10690091992
113245a2367
1217313a960
13acc80675
1467919372
15408b6a7c
hex2921f7d8

690091992 has 96 divisors (see below), whose sum is σ = 1976607360. Its totient is φ = 217152000.

The previous prime is 690091981. The next prime is 690092021. The reversal of 690091992 is 299190096.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87742 + ... + 95282.

It is an arithmetic number, because the mean of its divisors is an integer number (20589660).

Almost surely, 2690091992 is an apocalyptic number.

690091992 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 690091992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (988303680).

690091992 is an abundant number, since it is smaller than the sum of its proper divisors (1286515368).

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

690091992 is a wasteful number, since it uses less digits than its factorization.

690091992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7625 (or 7618 counting only the distinct ones).

The product of its (nonzero) digits is 78732, while the sum is 45.

The square root of 690091992 is about 26269.6020525626. The cubic root of 690091992 is about 883.6948606621.

The spelling of 690091992 in words is "six hundred ninety million, ninety-one thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 41 62 72 82 93 123 124 164 186 246 248 279 328 369 372 492 558 738 744 984 1116 1271 1476 2232 2542 2952 3813 5084 7541 7626 10168 11439 15082 15252 22623 22878 30164 30504 45246 45756 60328 67869 90492 91512 135738 180984 233771 271476 309181 467542 542952 618362 701313 927543 935084 1236724 1402626 1855086 1870168 2103939 2473448 2782629 2805252 3710172 4207878 5565258 5610504 7420344 8415756 9584611 11130516 16831512 19169222 22261032 28753833 38338444 57507666 76676888 86261499 115015332 172522998 230030664 345045996 690091992