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690252912 = 243271181373
BaseRepresentation
bin101001001001000…
…110110001110000
31210002211110222200
4221021012301300
52403201043122
6152254303200
723051024106
oct5111066160
91702743880
10690252912
113246a2258
121731b7b00
13b000899b
146795bc76
15408e95ac
hex29246c70

690252912 has 120 divisors (see below), whose sum is σ = 1975061088. Its totient is φ = 224985600.

The previous prime is 690252911. The next prime is 690252923. The reversal of 690252912 is 219252096.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (690252911) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1850358 + ... + 1850730.

Almost surely, 2690252912 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 690252912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987530544).

690252912 is an abundant number, since it is smaller than the sum of its proper divisors (1284808176).

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

690252912 is a wasteful number, since it uses less digits than its factorization.

690252912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 690252912 is about 26272.6647297148. The cubic root of 690252912 is about 883.7635438361.

The spelling of 690252912 in words is "six hundred ninety million, two hundred fifty-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 71 72 142 144 181 213 284 362 373 426 543 568 639 724 746 852 1086 1119 1136 1278 1448 1492 1629 1704 2172 2238 2556 2896 2984 3258 3357 3408 4344 4476 5112 5968 6516 6714 8688 8952 10224 12851 13032 13428 17904 25702 26064 26483 26856 38553 51404 52966 53712 67513 77106 79449 102808 105932 115659 135026 154212 158898 202539 205616 211864 231318 238347 270052 308424 317796 405078 423728 462636 476694 540104 607617 616848 635592 810156 925272 953388 1080208 1215234 1271184 1620312 1850544 1906776 2430468 3240624 3813552 4793423 4860936 9586846 9721872 14380269 19173692 28760538 38347384 43140807 57521076 76694768 86281614 115042152 172563228 230084304 345126456 690252912