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669265920 = 2123253631
BaseRepresentation
bin100111111001000…
…011000000000000
31201122100020020200
4213321003000000
52332313002140
6150224405200
722404444411
oct4771030000
91648306220
10669265920
11313868434
12168176800
13a886b24b
1464c57808
153db51030
hex27e43000

669265920 has 156 divisors (see below), whose sum is σ = 2320477536. Its totient is φ = 178421760.

The previous prime is 669265903. The next prime is 669265939. The reversal of 669265920 is 29562966.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 182505 + ... + 186135.

It is an arithmetic number, because the mean of its divisors is an integer number (14874856).

Almost surely, 2669265920 is an apocalyptic number.

669265920 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 669265920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1160238768).

669265920 is an abundant number, since it is smaller than the sum of its proper divisors (1651211616).

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

669265920 is a wasteful number, since it uses less digits than its factorization.

669265920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3666 (or 3641 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 669265920 is about 25870.1743326171. The cubic root of 669265920 is about 874.7143208883.

The spelling of 669265920 in words is "six hundred sixty-nine million, two hundred sixty-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1920 2048 2304 2560 2880 3072 3631 3840 4096 4608 5120 5760 6144 7262 7680 9216 10240 10893 11520 12288 14524 15360 18155 18432 20480 21786 23040 29048 30720 32679 36310 36864 43572 46080 54465 58096 61440 65358 72620 87144 92160 108930 116192 130716 145240 163395 174288 184320 217860 232384 261432 290480 326790 348576 435720 464768 522864 580960 653580 697152 871440 929536 1045728 1161920 1307160 1394304 1742880 1859072 2091456 2323840 2614320 2788608 3485760 3718144 4182912 4647680 5228640 5577216 6971520 7436288 8365824 9295360 10457280 11154432 13943040 14872576 16731648 18590720 20914560 22308864 27886080 33463296 37181440 41829120 44617728 55772160 66926592 74362880 83658240 111544320 133853184 167316480 223088640 334632960 669265920