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669017088 = 21032229317
BaseRepresentation
bin100111111000000…
…110010000000000
31201121212120220200
4213320012100000
52332232021323
6150215205200
722402360065
oct4770062000
91647776820
10669017088
11313708493
12168076800
13a87b1bcc
1464bd0c6c
153db02443
hex27e06400

669017088 has 132 divisors (see below), whose sum is σ = 1946328540. Its totient is φ = 221331456.

The previous prime is 669017081. The next prime is 669017117. The reversal of 669017088 is 880710966.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 325730304 + 343286784 = 18048^2 + 18528^2 .

It is not an unprimeable number, because it can be changed into a prime (669017081) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2110306 + ... + 2110622.

Almost surely, 2669017088 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 669017088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (973164270).

669017088 is an abundant number, since it is smaller than the sum of its proper divisors (1277311452).

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

669017088 is a wasteful number, since it uses less digits than its factorization.

669017088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 669017088 is about 25865.3646407701. The cubic root of 669017088 is about 874.6059016548.

The spelling of 669017088 in words is "six hundred sixty-nine million, seventeen thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 229 256 288 317 384 458 512 576 634 687 768 916 951 1024 1152 1268 1374 1536 1832 1902 2061 2304 2536 2748 2853 3072 3664 3804 4122 4608 5072 5496 5706 7328 7608 8244 9216 10144 10992 11412 14656 15216 16488 20288 21984 22824 29312 30432 32976 40576 43968 45648 58624 60864 65952 72593 81152 87936 91296 117248 121728 131904 145186 162304 175872 182592 217779 234496 243456 263808 290372 324608 351744 365184 435558 486912 527616 580744 653337 703488 730368 871116 973824 1055232 1161488 1306674 1460736 1742232 2110464 2322976 2613348 2921472 3484464 4645952 5226696 6968928 9291904 10453392 13937856 18583808 20906784 27875712 37167616 41813568 55751424 74335232 83627136 111502848 167254272 223005696 334508544 669017088