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164402145 = 32531117851
BaseRepresentation
bin10011100110010…
…01001111100001
3102110100111100100
421303021033201
5314041332040
624151413013
74034252355
oct1163111741
9373314310
10164402145
1184889846
1247084169
13280a239b
1417b97465
15e676b30
hex9cc93e1

164402145 has 24 divisors (see below), whose sum is σ = 294158592. Its totient is φ = 84852000.

The previous prime is 164402107. The next prime is 164402149. The reversal of 164402145 is 541204461.

164402145 is a `hidden beast` number, since 1 + 6 + 440 + 214 + 5 = 666.

164402145 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 164402145 - 217 = 164271073 is a prime.

It is a super-3 number, since 3×1644021453 (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (164402149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57531 + ... + 60320.

It is an arithmetic number, because the mean of its divisors is an integer number (12256608).

Almost surely, 2164402145 is an apocalyptic number.

164402145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

164402145 is a deficient number, since it is larger than the sum of its proper divisors (129756447).

164402145 is a wasteful number, since it uses less digits than its factorization.

164402145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117893 (or 117890 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 164402145 is about 12821.9399858212. The cubic root of 164402145 is about 547.8174052446.

The spelling of 164402145 in words is "one hundred sixty-four million, four hundred two thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 31 45 93 155 279 465 1395 117851 353553 589255 1060659 1767765 3653381 5303295 10960143 18266905 32880429 54800715 164402145