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764240 = 24541233
BaseRepresentation
bin10111010100101010000
31102211100012
42322211100
5143423430
624214052
76332051
oct2724520
91384305
10764240
11482204
1230a328
13209b19
1415c728
15101695
hexba950

764240 has 40 divisors (see below), whose sum is σ = 1828008. Its totient is φ = 296960.

The previous prime is 764233. The next prime is 764249. The reversal of 764240 is 42467.

It can be written as a sum of positive squares in 4 ways, for example, as 10816 + 753424 = 104^2 + 868^2 .

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

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (764249) by changing a digit.

764240 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3164 + ... + 3396.

2764240 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 764240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914004).

764240 is an abundant number, since it is smaller than the sum of its proper divisors (1063768).

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

764240 is a wasteful number, since it uses less digits than its factorization.

764240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 764240 is about 874.2082131849. The cubic root of 764240 is about 91.4274460427.

The spelling of 764240 in words is "seven hundred sixty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 233 328 410 466 656 820 932 1165 1640 1864 2330 3280 3728 4660 9320 9553 18640 19106 38212 47765 76424 95530 152848 191060 382120 764240