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164240440 = 23571345121
BaseRepresentation
bin10011100101000…
…01110000111000
3102110001021112021
421302201300320
5314021143230
624144124224
74033010050
oct1162416070
9373037467
10164240440
1184789301
1247006674
13280468c0
1417b54560
15e643c7a
hex9ca1c38

164240440 has 64 divisors (see below), whose sum is σ = 454829760. Its totient is φ = 51978240.

The previous prime is 164240431. The next prime is 164240441. The reversal of 164240440 is 44042461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164240441) 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, 18921 + ... + 26200.

It is an arithmetic number, because the mean of its divisors is an integer number (7106715).

Almost surely, 2164240440 is an apocalyptic number.

164240440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164240440 is an abundant number, since it is smaller than the sum of its proper divisors (290589320).

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

164240440 is a wasteful number, since it uses less digits than its factorization.

164240440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45152 (or 45148 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 164240440 is about 12815.6326414266. The cubic root of 164240440 is about 547.6377363130.

The spelling of 164240440 in words is "one hundred sixty-four million, two hundred forty thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 455 520 728 910 1820 3640 45121 90242 180484 225605 315847 360968 451210 586573 631694 902420 1173146 1263388 1579235 1804840 2346292 2526776 2932865 3158470 4106011 4692584 5865730 6316940 8212022 11731460 12633880 16424044 20530055 23462920 32848088 41060110 82120220 164240440