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27394640 = 2457135371
BaseRepresentation
bin110100010000…
…0001001010000
31220112210101022
41220200021100
524003112030
62415055012
7451564520
oct150401120
956483338
1027394640
1114510aa9
129211468
1358a2160
1438d1680
152611de5
hex1a20250

27394640 has 160 divisors (see below), whose sum is σ = 80994816. Its totient is φ = 8386560.

The previous prime is 27394603. The next prime is 27394649. The reversal of 27394640 is 4649372.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 27394640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27394649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 385805 + ... + 385875.

Almost surely, 227394640 is an apocalyptic number.

27394640 is a gapful number since it is divisible by the number (20) 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 27394640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40497408).

27394640 is an abundant number, since it is smaller than the sum of its proper divisors (53600176).

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

27394640 is a wasteful number, since it uses less digits than its factorization.

27394640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 35.

The square root of 27394640 is about 5233.9889185974. The cubic root of 27394640 is about 301.4545656936.

The spelling of 27394640 in words is "twenty-seven million, three hundred ninety-four thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 53 56 65 70 71 80 91 104 106 112 130 140 142 182 208 212 260 265 280 284 355 364 371 424 455 497 520 530 560 568 689 710 728 742 848 910 923 994 1040 1060 1136 1378 1420 1456 1484 1820 1846 1855 1988 2120 2485 2756 2840 2968 3445 3640 3692 3710 3763 3976 4240 4615 4823 4970 5512 5680 5936 6461 6890 7280 7384 7420 7526 7952 9230 9646 9940 11024 12922 13780 14768 14840 15052 18460 18815 19292 19880 24115 25844 26341 27560 29680 30104 32305 36920 37630 38584 39760 48230 48919 51688 52682 55120 60208 64610 73840 75260 77168 96460 97838 103376 105364 129220 131705 150520 192920 195676 210728 244595 258440 263410 301040 342433 385840 391352 421456 489190 516880 526820 684866 782704 978380 1053640 1369732 1712165 1956760 2107280 2739464 3424330 3913520 5478928 6848660 13697320 27394640