Search a number
-
+
16400934 = 2331127611
BaseRepresentation
bin111110100100…
…001000100110
31010212020212000
4332210020212
513144312214
61343310130
7256256064
oct76441046
933766760
1016400934
1192922a0
1255ab346
1335231c4
14226d034
15168e809
hexfa4226

16400934 has 32 divisors (see below), whose sum is σ = 39761280. Its totient is φ = 4969800.

The previous prime is 16400927. The next prime is 16400939. The reversal of 16400934 is 43900461.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 16400898 and 16400907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16400939) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13212 + ... + 14399.

It is an arithmetic number, because the mean of its divisors is an integer number (1242540).

Almost surely, 216400934 is an apocalyptic number.

16400934 is an abundant number, since it is smaller than the sum of its proper divisors (23360346).

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

16400934 is a wasteful number, since it uses less digits than its factorization.

16400934 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27633 (or 27627 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 16400934 is about 4049.8066620519. The cubic root of 16400934 is about 254.0716416013.

The spelling of 16400934 in words is "sixteen million, four hundred thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 27611 55222 82833 165666 248499 303721 496998 607442 745497 911163 1490994 1822326 2733489 5466978 8200467 16400934