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690307072 = 214713463
BaseRepresentation
bin101001001001010…
…100000000000000
31210002221020021121
4221021110000000
52403204311242
6152255402024
723051341030
oct5111240000
91702836247
10690307072
11324729a14
12173223314
13b0027530
14679738c0
154090a667
hex29254000

690307072 has 120 divisors (see below), whose sum is σ = 1702835456. Its totient is φ = 272498688.

The previous prime is 690307067. The next prime is 690307147. The reversal of 690307072 is 270703096.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1490713 + ... + 1491175.

Almost surely, 2690307072 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 690307072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851417728).

690307072 is an abundant number, since it is smaller than the sum of its proper divisors (1012528384).

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

690307072 is an equidigital number, since it uses as much as digits as its factorization.

690307072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 34.

The square root of 690307072 is about 26273.6954385941. The cubic root of 690307072 is about 883.7866577705.

The spelling of 690307072 in words is "six hundred ninety million, three hundred seven thousand, seventy-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 256 364 416 448 463 512 728 832 896 926 1024 1456 1664 1792 1852 2048 2912 3241 3328 3584 3704 4096 5824 6019 6482 6656 7168 7408 8192 11648 12038 12964 13312 14336 14816 16384 23296 24076 25928 26624 28672 29632 42133 46592 48152 51856 53248 57344 59264 84266 93184 96304 103712 106496 114688 118528 168532 186368 192608 207424 212992 237056 337064 372736 385216 414848 474112 674128 745472 770432 829696 948224 1348256 1490944 1540864 1659392 1896448 2696512 3081728 3318784 3792896 5393024 6163456 6637568 7585792 10786048 12326912 13275136 21572096 24653824 26550272 43144192 49307648 53100544 86288384 98615296 172576768 345153536 690307072