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164110140 = 22325911723
BaseRepresentation
bin10011100100000…
…01111100111100
3102102210122210100
421302001330330
5314003011030
624141241100
74031625135
oct1162017474
9372718710
10164110140
11846aa417
1246b63190
1327ccc4bc
1417b1cc8c
15e61a360
hex9c81f3c

164110140 has 36 divisors (see below), whose sum is σ = 497801304. Its totient is φ = 43762656.

The previous prime is 164110139. The next prime is 164110147. The reversal of 164110140 is 41011461.

164110140 is a `hidden beast` number, since 1 + 641 + 10 + 14 + 0 = 666.

164110140 is digitally balanced in base 2 and base 3, because in such bases 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 (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164110147) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 455682 + ... + 456041.

It is an arithmetic number, because the mean of its divisors is an integer number (13827814).

Almost surely, 2164110140 is an apocalyptic number.

164110140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164110140 is an abundant number, since it is smaller than the sum of its proper divisors (333691164).

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

164110140 is a wasteful number, since it uses less digits than its factorization.

164110140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911738 (or 911733 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 164110140 is about 12810.5479976463. The cubic root of 164110140 is about 547.4928753686.

It can be divided in two parts, 1641 and 10140, that added together give a triangular number (11781 = T153).

The spelling of 164110140 in words is "one hundred sixty-four million, one hundred ten thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 911723 1823446 2735169 3646892 4558615 5470338 8205507 9117230 10940676 13675845 16411014 18234460 27351690 32822028 41027535 54703380 82055070 164110140