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669070272 = 26313318647
BaseRepresentation
bin100111111000010…
…011001111000000
31201121222021212110
4213320103033000
52332240222042
6150220255320
722403001123
oct4770231700
91647867773
10669070272
11313744442
121680a1540
13a8800190
1464c063ba
153db1309c
hex27e133c0

669070272 has 112 divisors (see below), whose sum is σ = 1968146432. Its totient is φ = 199203840.

The previous prime is 669070249. The next prime is 669070277. The reversal of 669070272 is 272070966.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 669070272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (669070277) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73053 + ... + 81699.

It is an arithmetic number, because the mean of its divisors is an integer number (17572736).

Almost surely, 2669070272 is an apocalyptic number.

669070272 is a gapful number since it is divisible by the number (62) 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 669070272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984073216).

669070272 is an abundant number, since it is smaller than the sum of its proper divisors (1299076160).

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

669070272 is a wasteful number, since it uses less digits than its factorization.

669070272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8706 (or 8696 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The square root of 669070272 is about 25866.3927133259. The cubic root of 669070272 is about 874.6290768514.

The spelling of 669070272 in words is "six hundred sixty-nine million, seventy thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 64 78 93 96 104 124 156 186 192 208 248 312 372 403 416 496 624 744 806 832 992 1209 1248 1488 1612 1984 2418 2496 2976 3224 4836 5952 6448 8647 9672 12896 17294 19344 25792 25941 34588 38688 51882 69176 77376 103764 112411 138352 207528 224822 268057 276704 337233 415056 449644 536114 553408 674466 804171 830112 899288 1072228 1348932 1608342 1660224 1798576 2144456 2697864 3216684 3484741 3597152 4288912 5395728 6433368 6969482 7194304 8577824 10454223 10791456 12866736 13938964 17155648 20908446 21582912 25733472 27877928 41816892 51466944 55755856 83633784 111511712 167267568 223023424 334535136 669070272