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669768640 = 26531107631
BaseRepresentation
bin100111111010111…
…101101111000000
31201200021202211221
4213322331233000
52332430044030
6150243244424
722411640152
oct4772755700
91650252757
10669768640
11314081102
12168379714
13a89b6008
1464d48ad2
153dbeee7a
hex27ebdbc0

669768640 has 112 divisors (see below), whose sum is σ = 1664354304. Its totient is φ = 256435200.

The previous prime is 669768637. The next prime is 669768653. The reversal of 669768640 is 46867966.

It is a super-2 number, since 2×6697686402 = 897180062254899200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1061125 + ... + 1061755.

Almost surely, 2669768640 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 669768640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832177152).

669768640 is an abundant number, since it is smaller than the sum of its proper divisors (994585664).

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

669768640 is a wasteful number, since it uses less digits than its factorization.

669768640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 52.

The square root of 669768640 is about 25879.8887169168. Note that the first 3 decimals coincide. The cubic root of 669768640 is about 874.9332803549.

The spelling of 669768640 in words is "six hundred sixty-nine million, seven hundred sixty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 107 124 155 160 214 248 310 320 428 496 535 620 631 856 992 1070 1240 1262 1712 1984 2140 2480 2524 3155 3317 3424 4280 4960 5048 6310 6634 6848 8560 9920 10096 12620 13268 16585 17120 19561 20192 25240 26536 33170 34240 39122 40384 50480 53072 66340 67517 78244 97805 100960 106144 132680 135034 156488 195610 201920 212288 265360 270068 312976 337585 391220 530720 540136 625952 675170 782440 1061440 1080272 1251904 1350340 1564880 2093027 2160544 2700680 3129760 4186054 4321088 5401360 6259520 8372108 10465135 10802720 16744216 20930270 21605440 33488432 41860540 66976864 83721080 133953728 167442160 334884320 669768640