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746964 = 223220749
BaseRepresentation
bin10110110010111010100
31101221122100
42312113110
5142400324
624002100
76230511
oct2662724
91357570
10746964
11470229
12300330
13201cba
14156308
15eb4c9
hexb65d4

746964 has 18 divisors (see below), whose sum is σ = 1888250. Its totient is φ = 248976.

The previous prime is 746959. The next prime is 746969. The reversal of 746964 is 469647.

It is an interprime number because it is at equal distance from previous prime (746959) and next prime (746969).

It can be written as a sum of positive squares in only one way, i.e., 435600 + 311364 = 660^2 + 558^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 20749 = 746964 / (7 + 4 + 6 + 9 + 6 + 4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (746969) 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, 10339 + ... + 10410.

2746964 is an apocalyptic number.

It is an amenable number.

746964 is an abundant number, since it is smaller than the sum of its proper divisors (1141286).

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

746964 is a wasteful number, since it uses less digits than its factorization.

746964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20759 (or 20754 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 746964 is about 864.2707908983. The cubic root of 746964 is about 90.7332687776.

It can be divided in two parts, 7 and 46964, that added together give a triangular number (46971 = T306).

The spelling of 746964 in words is "seven hundred forty-six thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 20749 41498 62247 82996 124494 186741 248988 373482 746964