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10490832 = 24321137179
BaseRepresentation
bin101000000001…
…001111010000
3201201222201100
4220001033100
510141201312
61012504400
7155112342
oct50011720
921658640
1010490832
115a15a10
12361b100
1322340c1
141571292
15dc35dc
hexa013d0

10490832 has 120 divisors (see below), whose sum is σ = 33078240. Its totient is φ = 3075840.

The previous prime is 10490813. The next prime is 10490833. The reversal of 10490832 is 23809401.

It is a super-2 number, since 2×104908322 = 220115112104448, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10490796 and 10490805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10490833) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58519 + ... + 58697.

It is an arithmetic number, because the mean of its divisors is an integer number (275652).

Almost surely, 210490832 is an apocalyptic number.

10490832 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 10490832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16539120).

10490832 is an abundant number, since it is smaller than the sum of its proper divisors (22587408).

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

10490832 is a wasteful number, since it uses less digits than its factorization.

10490832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 10490832 is about 3238.9553871580. The cubic root of 10490832 is about 218.9122060053.

The spelling of 10490832 in words is "ten million, four hundred ninety thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 37 44 48 66 72 74 88 99 111 132 144 148 176 179 198 222 264 296 333 358 396 407 444 528 537 592 666 716 792 814 888 1074 1221 1332 1432 1584 1611 1628 1776 1969 2148 2442 2664 2864 3222 3256 3663 3938 4296 4884 5328 5907 6444 6512 6623 7326 7876 8592 9768 11814 12888 13246 14652 15752 17721 19536 19869 23628 25776 26492 29304 31504 35442 39738 47256 52984 58608 59607 70884 72853 79476 94512 105968 119214 141768 145706 158952 218559 238428 283536 291412 317904 437118 476856 582824 655677 874236 953712 1165648 1311354 1748472 2622708 3496944 5245416 10490832