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2490432 = 263717109
BaseRepresentation
bin1001100000000001000000
311200112020020
421200001000
51114143212
6125213440
730111510
oct11400100
94615206
102490432
11145110a
12a01280
13692739
1448b840
15342d8c
hex260040

2490432 has 112 divisors (see below), whose sum is σ = 8046720. Its totient is φ = 663552.

The previous prime is 2490421. The next prime is 2490451. The reversal of 2490432 is 2340942.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22794 + ... + 22902.

22490432 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 2490432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4023360).

2490432 is an abundant number, since it is smaller than the sum of its proper divisors (5556288).

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

2490432 is a wasteful number, since it uses less digits than its factorization.

2490432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 2490432 is about 1578.1102623074. The cubic root of 2490432 is about 135.5475158221.

The spelling of 2490432 in words is "two million, four hundred ninety thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 64 68 84 96 102 109 112 119 136 168 192 204 218 224 238 272 327 336 357 408 436 448 476 544 654 672 714 763 816 872 952 1088 1308 1344 1428 1526 1632 1744 1853 1904 2289 2616 2856 3052 3264 3488 3706 3808 4578 5232 5559 5712 6104 6976 7412 7616 9156 10464 11118 11424 12208 12971 14824 18312 20928 22236 22848 24416 25942 29648 36624 38913 44472 48832 51884 59296 73248 77826 88944 103768 118592 146496 155652 177888 207536 311304 355776 415072 622608 830144 1245216 2490432