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10091472 = 2431783149
BaseRepresentation
bin100110011111…
…101111010000
3200222200220020
4212133233100
510040411342
61000143440
7151530126
oct46375720
920880806
1010091472
115772966
123467b80
1321243b1
1414a9916
15d450ec
hex99fbd0

10091472 has 80 divisors (see below), whose sum is σ = 28123200. Its totient is φ = 3106816.

The previous prime is 10091467. The next prime is 10091479. The reversal of 10091472 is 27419001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10091479) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67654 + ... + 67802.

It is an arithmetic number, because the mean of its divisors is an integer number (351540).

Almost surely, 210091472 is an apocalyptic number.

10091472 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 10091472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14061600).

10091472 is an abundant number, since it is smaller than the sum of its proper divisors (18031728).

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

10091472 is a wasteful number, since it uses less digits than its factorization.

10091472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 10091472 is about 3176.7077297101. The cubic root of 10091472 is about 216.0983776834.

The spelling of 10091472 in words is "ten million, ninety-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 83 102 136 149 166 204 249 272 298 332 408 447 498 596 664 816 894 996 1192 1328 1411 1788 1992 2384 2533 2822 3576 3984 4233 5066 5644 7152 7599 8466 10132 11288 12367 15198 16932 20264 22576 24734 30396 33864 37101 40528 49468 60792 67728 74202 98936 121584 148404 197872 210239 296808 420478 593616 630717 840956 1261434 1681912 2522868 3363824 5045736 10091472