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64739840 = 29511319
BaseRepresentation
bin1111011011110…
…1101000000000
311111211010100212
43312331220000
5113033133330
610231333252
71414164614
oct366755000
9144733325
1064739840
11335a9000
1219821228
13105494c9
148853344
155a3c295
hex3dbda00

64739840 has 160 divisors (see below), whose sum is σ = 179720640. Its totient is φ = 22302720.

The previous prime is 64739839. The next prime is 64739863. The reversal of 64739840 is 4893746.

64739840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3407351 + ... + 3407369.

It is an arithmetic number, because the mean of its divisors is an integer number (1123254).

Almost surely, 264739840 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 64739840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89860320).

64739840 is an abundant number, since it is smaller than the sum of its proper divisors (114980800).

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

64739840 is an equidigital number, since it uses as much as digits as its factorization.

64739840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 41.

The square root of 64739840 is about 8046.1071332664. The cubic root of 64739840 is about 401.5354319141.

The spelling of 64739840 in words is "sixty-four million, seven hundred thirty-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 32 38 40 44 55 64 76 80 88 95 110 121 128 152 160 176 190 209 220 242 256 304 320 352 380 418 440 484 512 605 608 640 704 760 836 880 968 1045 1210 1216 1280 1331 1408 1520 1672 1760 1936 2090 2299 2420 2432 2560 2662 2816 3040 3344 3520 3872 4180 4598 4840 4864 5324 5632 6080 6655 6688 7040 7744 8360 9196 9680 9728 10648 11495 12160 13310 13376 14080 15488 16720 18392 19360 21296 22990 24320 25289 26620 26752 28160 30976 33440 36784 38720 42592 45980 48640 50578 53240 53504 61952 66880 73568 77440 85184 91960 101156 106480 107008 126445 133760 147136 154880 170368 183920 202312 212960 252890 267520 294272 309760 340736 367840 404624 425920 505780 535040 588544 681472 735680 809248 851840 1011560 1177088 1471360 1618496 1703680 2023120 2942720 3236992 3407360 4046240 5885440 6473984 8092480 12947968 16184960 32369920 64739840