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1390464 = 27321771
BaseRepresentation
bin101010011011110000000
32121122100200
411103132000
5323443324
645445200
714550555
oct5233600
92548320
101390464
1186a749
12570800
13398b7a
14282a2c
151c6ec9
hex153780

1390464 has 96 divisors (see below), whose sum is σ = 4296240. Its totient is φ = 430080.

The previous prime is 1390457. The next prime is 1390469. The reversal of 1390464 is 4640931.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1390469) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19549 + ... + 19619.

21390464 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 1390464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2148120).

1390464 is an abundant number, since it is smaller than the sum of its proper divisors (2905776).

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

1390464 is a wasteful number, since it uses less digits than its factorization.

1390464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 93 counting only the distinct ones).

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

The square root of 1390464 is about 1179.1793756677. The cubic root of 1390464 is about 111.6143196641.

The spelling of 1390464 in words is "one million, three hundred ninety thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 71 72 96 102 128 136 142 144 153 192 204 213 272 284 288 306 384 408 426 544 568 576 612 639 816 852 1088 1136 1152 1207 1224 1278 1632 1704 2176 2272 2414 2448 2556 3264 3408 3621 4544 4828 4896 5112 6528 6816 7242 9088 9656 9792 10224 10863 13632 14484 19312 19584 20448 21726 27264 28968 38624 40896 43452 57936 77248 81792 86904 115872 154496 173808 231744 347616 463488 695232 1390464