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64279140 = 22357179191
BaseRepresentation
bin1111010100110…
…1001001100100
311110221201101220
43311031021210
5112423413030
610213420340
71410235512
oct365151144
9143851356
1064279140
1133313962
121963a6b0
13104178c3
1487734b2
15599aa10
hex3d4d264

64279140 has 96 divisors (see below), whose sum is σ = 185794560. Its totient is φ = 16598400.

The previous prime is 64279139. The next prime is 64279199. The reversal of 64279140 is 4197246.

It is a happy number.

64279140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 336445 + ... + 336635.

It is an arithmetic number, because the mean of its divisors is an integer number (1935360).

Almost surely, 264279140 is an apocalyptic number.

64279140 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 64279140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92897280).

64279140 is an abundant number, since it is smaller than the sum of its proper divisors (121515420).

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

64279140 is a wasteful number, since it uses less digits than its factorization.

64279140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 64279140 is about 8017.4272681453. The cubic root of 64279140 is about 400.5806982326.

The spelling of 64279140 in words is "sixty-four million, two hundred seventy-nine thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 79 142 158 191 213 237 284 316 355 382 395 426 474 573 710 764 790 852 948 955 1065 1146 1185 1420 1580 1910 2130 2292 2370 2865 3820 4260 4740 5609 5730 11218 11460 13561 15089 16827 22436 27122 28045 30178 33654 40683 45267 54244 56090 60356 67308 67805 75445 81366 84135 90534 112180 135610 150890 162732 168270 181068 203415 226335 271220 301780 336540 406830 452670 813660 905340 1071319 2142638 3213957 4285276 5356595 6427914 10713190 12855828 16069785 21426380 32139570 64279140