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10040472 = 23321317631
BaseRepresentation
bin100110010011…
…010010011000
3200220002221100
4212103102120
510032243342
6555111400
7151225341
oct46232230
920802840
1010040472
115738612
123442560
132107110
1414950c8
15d34e4c
hex993498

10040472 has 96 divisors (see below), whose sum is σ = 31056480. Its totient is φ = 2903040.

The previous prime is 10040461. The next prime is 10040483. The reversal of 10040472 is 27404001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10040461) and next prime (10040483).

It is a super-2 number, since 2×100404722 = 201622155965568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15597 + ... + 16227.

It is an arithmetic number, because the mean of its divisors is an integer number (323505).

Almost surely, 210040472 is an apocalyptic number.

10040472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10040472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15528240).

10040472 is an abundant number, since it is smaller than the sum of its proper divisors (21016008).

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

10040472 is a wasteful number, since it uses less digits than its factorization.

10040472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 10040472 is about 3168.6703836152. The cubic root of 10040472 is about 215.7337253820.

Adding to 10040472 its reverse (27404001), we get a palindrome (37444473).

The spelling of 10040472 in words is "ten million, forty thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 17 18 24 26 34 36 39 51 52 68 72 78 102 104 117 136 153 156 204 221 234 306 312 408 442 468 612 631 663 884 936 1224 1262 1326 1768 1893 1989 2524 2652 3786 3978 5048 5304 5679 7572 7956 8203 10727 11358 15144 15912 16406 21454 22716 24609 32181 32812 42908 45432 49218 64362 65624 73827 85816 96543 98436 128724 139451 147654 193086 196872 257448 278902 295308 386172 418353 557804 590616 772344 836706 1115608 1255059 1673412 2510118 3346824 5020236 10040472