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164256140 = 225193131381
BaseRepresentation
bin10011100101001…
…01100110001100
3102110002002001202
421302211212030
5314022144030
624144325032
74033103606
oct1162454614
9373062052
10164256140
118479a084
1247013778
1328050aa9
1417b5a176
15e648745
hex9ca598c

164256140 has 48 divisors (see below), whose sum is σ = 364516320. Its totient is φ = 62000640.

The previous prime is 164256107. The next prime is 164256143. The reversal of 164256140 is 41652461.

It is not an unprimeable number, because it can be changed into a prime (164256143) by changing a digit.

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, 118250 + ... + 119630.

It is an arithmetic number, because the mean of its divisors is an integer number (7594090).

Almost surely, 2164256140 is an apocalyptic number.

164256140 is a gapful number since it is divisible by the number (10) 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 164256140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182258160).

164256140 is an abundant number, since it is smaller than the sum of its proper divisors (200260180).

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

164256140 is a wasteful number, since it uses less digits than its factorization.

164256140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1722 (or 1720 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 164256140 is about 12816.2451599523. The cubic root of 164256140 is about 547.6551856057.

The spelling of 164256140 in words is "one hundred sixty-four million, two hundred fifty-six thousand, one hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 313 380 626 1252 1381 1565 2762 3130 5524 5947 6260 6905 11894 13810 23788 26239 27620 29735 52478 59470 104956 118940 131195 262390 432253 524780 864506 1729012 2161265 4322530 8212807 8645060 16425614 32851228 41064035 82128070 164256140