Search a number
-
+
164022640 = 2454347681
BaseRepresentation
bin10011100011011…
…00100101110000
3102102122012202121
421301230211300
5313442211030
624135324024
74031112055
oct1161544560
9372565677
10164022640
118464a701
1246b20614
1327c9b722
1417ad902c
15e5ee47a
hex9c6c970

164022640 has 40 divisors (see below), whose sum is σ = 390229488. Its totient is φ = 64081920.

The previous prime is 164022631. The next prime is 164022667. The reversal of 164022640 is 46220461.

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 20401 + ... + 27280.

Almost surely, 2164022640 is an apocalyptic number.

164022640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164022640 is an abundant number, since it is smaller than the sum of its proper divisors (226206848).

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

164022640 is a wasteful number, since it uses less digits than its factorization.

164022640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47737 (or 47731 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 164022640 is about 12807.1323878533. The cubic root of 164022640 is about 547.3955542581.

The spelling of 164022640 in words is "one hundred sixty-four million, twenty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 215 344 430 688 860 1720 3440 47681 95362 190724 238405 381448 476810 762896 953620 1907240 2050283 3814480 4100566 8201132 10251415 16402264 20502830 32804528 41005660 82011320 164022640