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670592040 = 233553971087
BaseRepresentation
bin100111111110000…
…110110000101000
31201201211121100020
4213332012300220
52333132421130
6150313040440
722421636556
oct4776066050
91651747306
10670592040
113145937a8
121686b6120
13a8c13a31
14650c0bd6
153dd13e10
hex27f86c28

670592040 has 128 divisors (see below), whose sum is σ = 2072770560. Its totient is φ = 173481984.

The previous prime is 670592029. The next prime is 670592051. The reversal of 670592040 is 40295076.

670592040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (670592029) and next prime (670592051).

It is a super-2 number, since 2×6705920402 = 899387368222723200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 670591992 and 670592010.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 616377 + ... + 617463.

It is an arithmetic number, because the mean of its divisors is an integer number (16193520).

Almost surely, 2670592040 is an apocalyptic number.

670592040 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 670592040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1036385280).

670592040 is an abundant number, since it is smaller than the sum of its proper divisors (1402178520).

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

670592040 is a wasteful number, since it uses less digits than its factorization.

670592040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 670592040 is about 25895.7919361428. The cubic root of 670592040 is about 875.2916752782.

The spelling of 670592040 in words is "six hundred seventy million, five hundred ninety-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 97 106 120 159 194 212 265 291 318 388 424 485 530 582 636 776 795 970 1060 1087 1164 1272 1455 1590 1940 2120 2174 2328 2910 3180 3261 3880 4348 5141 5435 5820 6360 6522 8696 10282 10870 11640 13044 15423 16305 20564 21740 25705 26088 30846 32610 41128 43480 51410 57611 61692 65220 77115 102820 105439 115222 123384 130440 154230 172833 205640 210878 230444 288055 308460 316317 345666 421756 460888 527195 576110 616920 632634 691332 843512 864165 1054390 1152220 1265268 1382664 1581585 1728330 2108780 2304440 2530536 3163170 3456660 4217560 5588267 6326340 6913320 11176534 12652680 16764801 22353068 27941335 33529602 44706136 55882670 67059204 83824005 111765340 134118408 167648010 223530680 335296020 670592040