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690220608 = 26371146687
BaseRepresentation
bin101001001000111…
…110111001000000
31210002202211200020
4221020332321000
52403144024413
6152253453440
723050530660
oct5110767100
91702684606
10690220608
1132467aa60
121731a1280
13accc707c
14679501a0
15408dec23
hex2923ee40

690220608 has 112 divisors (see below), whose sum is σ = 2276880384. Its totient is φ = 179274240.

The previous prime is 690220603. The next prime is 690220631. The reversal of 690220608 is 806022096.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (690220603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8560 + ... + 38127.

Almost surely, 2690220608 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 690220608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1138440192).

690220608 is an abundant number, since it is smaller than the sum of its proper divisors (1586659776).

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

690220608 is a wasteful number, since it uses less digits than its factorization.

690220608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46720 (or 46710 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 690220608 is about 26272.0499390512. The cubic root of 690220608 is about 883.7497568398.

The spelling of 690220608 in words is "six hundred ninety million, two hundred twenty thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 132 154 168 176 192 224 231 264 308 336 352 448 462 528 616 672 704 924 1056 1232 1344 1848 2112 2464 3696 4928 7392 14784 46687 93374 140061 186748 280122 326809 373496 513557 560244 653618 746992 980427 1027114 1120488 1307236 1493984 1540671 1960854 2054228 2240976 2614472 2987968 3081342 3594899 3921708 4108456 4481952 5228944 6162684 7189798 7843416 8216912 8963904 10457888 10784697 12325368 14379596 15686832 16433824 20915776 21569394 24650736 28759192 31373664 32867648 43138788 49301472 57518384 62747328 86277576 98602944 115036768 172555152 230073536 345110304 690220608