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164109780 = 22335303907
BaseRepresentation
bin10011100100000…
…01110111010100
3102102210122022000
421302001313110
5314003003110
624141235300
74031624112
oct1162016724
9372718260
10164109780
11846aa11a
1246b62b30
1327ccc2a3
1417b1cab2
15e61a1c0
hex9c81dd4

164109780 has 48 divisors (see below), whose sum is σ = 510565440. Its totient is φ = 43762464.

The previous prime is 164109773. The next prime is 164109817. The reversal of 164109780 is 87901461.

164109780 is a `hidden beast` number, since 1 + 641 + 0 + 9 + 7 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 151414 + ... + 152493.

It is an arithmetic number, because the mean of its divisors is an integer number (10636780).

Almost surely, 2164109780 is an apocalyptic number.

164109780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164109780 is an abundant number, since it is smaller than the sum of its proper divisors (346455660).

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

164109780 is a wasteful number, since it uses less digits than its factorization.

164109780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303925 (or 303917 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 164109780 is about 12810.5339467174. The cubic root of 164109780 is about 547.4924750326.

The spelling of 164109780 in words is "one hundred sixty-four million, one hundred nine thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 303907 607814 911721 1215628 1519535 1823442 2735163 3039070 3646884 4558605 5470326 6078140 8205489 9117210 10940652 13675815 16410978 18234420 27351630 32821956 41027445 54703260 82054890 164109780