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164716940 = 22536722441
BaseRepresentation
bin10011101000101…
…10000110001100
3102110221111011102
421310112012030
5314131420230
624202242232
74040033213
oct1164260614
9373844142
10164716940
1184a84303
12471b6378
132818275b
1417c3a07a
15e6da045
hex9d1618c

164716940 has 24 divisors (see below), whose sum is σ = 346863552. Its totient is φ = 65704320.

The previous prime is 164716931. The next prime is 164716949. The reversal of 164716940 is 49617461.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (164716931) and next prime (164716949).

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 164716894 and 164716903.

It is not an unprimeable number, because it can be changed into a prime (164716949) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3881 + ... + 18560.

It is an arithmetic number, because the mean of its divisors is an integer number (14452648).

Almost surely, 2164716940 is an apocalyptic number.

164716940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164716940 is an abundant number, since it is smaller than the sum of its proper divisors (182146612).

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

164716940 is a wasteful number, since it uses less digits than its factorization.

164716940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22817 (or 22815 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The square root of 164716940 is about 12834.2097536233. The cubic root of 164716940 is about 548.1668334280.

The spelling of 164716940 in words is "one hundred sixty-four million, seven hundred sixteen thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 367 734 1468 1835 3670 7340 22441 44882 89764 112205 224410 448820 8235847 16471694 32943388 41179235 82358470 164716940