Search a number
-
+
5705964 = 2234111601
BaseRepresentation
bin10101110001000011101100
3101201220010000
4111301003230
52430042324
6322144300
766333315
oct25610354
911656100
105705964
113247a80
121ab2090
13124a214
14a8760c
1577a9c9
hex5710ec

5705964 has 60 divisors (see below), whose sum is σ = 16282728. Its totient is φ = 1728000.

The previous prime is 5705957. The next prime is 5705969. The reversal of 5705964 is 4695075.

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

It is not an unprimeable number, because it can be changed into a prime (5705969) 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 19 ways as a sum of consecutive naturals, for example, 2764 + ... + 4364.

Almost surely, 25705964 is an apocalyptic number.

5705964 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5705964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8141364).

5705964 is an abundant number, since it is smaller than the sum of its proper divisors (10576764).

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

5705964 is a wasteful number, since it uses less digits than its factorization.

5705964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1628 (or 1617 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 5705964 is about 2388.7159730701. The cubic root of 5705964 is about 178.6938787418.

The spelling of 5705964 in words is "five million, seven hundred five thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 297 324 396 594 891 1188 1601 1782 3202 3564 4803 6404 9606 14409 17611 19212 28818 35222 43227 52833 57636 70444 86454 105666 129681 158499 172908 211332 259362 316998 475497 518724 633996 950994 1426491 1901988 2852982 5705964