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761264 = 2472971
BaseRepresentation
bin10111001110110110000
31102200020222
42321312300
5143330024
624152212
76320300
oct2716660
91380228
10761264
1147aa49
12308668
1320866a
1415b600
1510085e
hexb9db0

761264 has 30 divisors (see below), whose sum is σ = 1717524. Its totient is φ = 325920.

The previous prime is 761263. The next prime is 761291. The reversal of 761264 is 462167.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (761261) 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 5 ways as a sum of consecutive naturals, for example, 299 + ... + 1269.

2761264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 761264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858762).

761264 is an abundant number, since it is smaller than the sum of its proper divisors (956260).

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

761264 is a wasteful number, since it uses less digits than its factorization.

761264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993 (or 980 counting only the distinct ones).

The product of its digits is 2016, while the sum is 26.

The square root of 761264 is about 872.5044412494. The cubic root of 761264 is about 91.3086168696.

The spelling of 761264 in words is "seven hundred sixty-one thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 971 1942 3884 6797 7768 13594 15536 27188 47579 54376 95158 108752 190316 380632 761264