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2390472 = 233471731
BaseRepresentation
bin1001000111100111001000
311111110010000
421013213020
51102443342
6123123000
726214210
oct11074710
94443100
102390472
111392aa7
12973460
136590a6
14463240
1532344c
hex2479c8

2390472 has 160 divisors (see below), whose sum is σ = 8363520. Its totient is φ = 622080.

The previous prime is 2390471. The next prime is 2390473. The reversal of 2390472 is 2740932.

It is an interprime number because it is at equal distance from previous prime (2390471) and next prime (2390473).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (2390471) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 77097 + ... + 77127.

It is an arithmetic number, because the mean of its divisors is an integer number (52272).

22390472 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 2390472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4181760).

2390472 is an abundant number, since it is smaller than the sum of its proper divisors (5973048).

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

2390472 is a wasteful number, since it uses less digits than its factorization.

2390472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 2390472 is about 1546.1151315475. The cubic root of 2390472 is about 133.7091784468.

The spelling of 2390472 in words is "two million, three hundred ninety thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 27 28 31 34 36 42 51 54 56 62 63 68 72 81 84 93 102 108 119 124 126 136 153 162 168 186 189 204 216 217 238 248 252 279 306 324 357 372 378 408 434 459 476 504 527 558 567 612 648 651 714 744 756 837 868 918 952 1054 1071 1116 1134 1224 1302 1377 1428 1512 1581 1674 1736 1836 1953 2108 2142 2232 2268 2511 2604 2754 2856 3162 3213 3348 3672 3689 3906 4216 4284 4536 4743 5022 5208 5508 5859 6324 6426 6696 7378 7812 8568 9486 9639 10044 11016 11067 11718 12648 12852 14229 14756 15624 17577 18972 19278 20088 22134 23436 25704 28458 29512 33201 35154 37944 38556 42687 44268 46872 56916 66402 70308 77112 85374 88536 99603 113832 132804 140616 170748 199206 265608 298809 341496 398412 597618 796824 1195236 2390472