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10493472 = 2531119523
BaseRepresentation
bin101000000001…
…111000100000
3201202010100010
4220001320200
510141242342
61012524520
7155123133
oct50017040
921663303
1010493472
115a179a0
123620740
132235372
14157221a
15dc429c
hexa01e20

10493472 has 96 divisors (see below), whose sum is σ = 31691520. Its totient is φ = 3006720.

The previous prime is 10493449. The next prime is 10493477. The reversal of 10493472 is 27439401.

It is a happy number.

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

It is a super-2 number, since 2×104934722 = 220225909229568, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10493477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19803 + ... + 20325.

It is an arithmetic number, because the mean of its divisors is an integer number (330120).

Almost surely, 210493472 is an apocalyptic number.

10493472 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 10493472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15845760).

10493472 is an abundant number, since it is smaller than the sum of its proper divisors (21198048).

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

10493472 is a wasteful number, since it uses less digits than its factorization.

10493472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 10493472 is about 3239.3629003247. The cubic root of 10493472 is about 218.9305674264.

The spelling of 10493472 in words is "ten million, four hundred ninety-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 66 76 88 96 114 132 152 176 209 228 264 304 352 418 456 523 528 608 627 836 912 1046 1056 1254 1569 1672 1824 2092 2508 3138 3344 4184 5016 5753 6276 6688 8368 9937 10032 11506 12552 16736 17259 19874 20064 23012 25104 29811 34518 39748 46024 50208 59622 69036 79496 92048 109307 119244 138072 158992 184096 218614 238488 276144 317984 327921 437228 476976 552288 655842 874456 953952 1311684 1748912 2623368 3497824 5246736 10493472