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690207140 = 225721722437
BaseRepresentation
bin101001001000111…
…011100110100100
31210002202011012102
4221020323212210
52403143112030
6152253311232
723050443500
oct5110734644
91702664172
10690207140
11324670927
12173195518
13accc0bbc
1467949300
15408dac45
hex2923b9a4

690207140 has 108 divisors (see below), whose sum is σ = 1791827604. Its totient is φ = 222630912.

The previous prime is 690207137. The next prime is 690207149. The reversal of 690207140 is 41702096.

It can be written as a sum of positive squares in 6 ways, for example, as 155950144 + 534256996 = 12488^2 + 23114^2 .

It is a super-2 number, since 2×6902071402 = 952771792213959200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (690207149) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 282002 + ... + 284438.

Almost surely, 2690207140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 690207140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895913802).

690207140 is an abundant number, since it is smaller than the sum of its proper divisors (1101620464).

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

690207140 is a wasteful number, since it uses less digits than its factorization.

690207140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2494 (or 2468 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 690207140 is about 26271.7936197740. The cubic root of 690207140 is about 883.7440087167.

The spelling of 690207140 in words is "six hundred ninety million, two hundred seven thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 49 68 70 85 98 119 140 170 196 238 245 289 340 476 490 578 595 833 980 1156 1190 1445 1666 2023 2380 2437 2890 3332 4046 4165 4874 5780 8092 8330 9748 10115 12185 14161 16660 17059 20230 24370 28322 34118 40460 41429 48740 56644 68236 70805 82858 85295 119413 141610 165716 170590 207145 238826 283220 290003 341180 414290 477652 580006 597065 704293 828580 1160012 1194130 1408586 1450015 2030021 2388260 2817172 2900030 3521465 4060042 4930051 5800060 7042930 8120084 9860102 10150105 14085860 19720204 20300210 24650255 34510357 40600420 49300510 69020714 98601020 138041428 172551785 345103570 690207140