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10641480 = 2335711249
BaseRepresentation
bin101000100110…
…000001001000
3202000122100220
4220212001020
510211011410
61020030040
7156310503
oct50460110
922018326
1010641480
116009113
123692320
132287845
1415b013a
15e03070
hexa26048

10641480 has 64 divisors (see below), whose sum is σ = 32400000. Its totient is φ = 2795520.

The previous prime is 10641469. The next prime is 10641493. The reversal of 10641480 is 8414601.

It is a super-2 number, since 2×106414802 = 226482193180800, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10641480.

It is an unprimeable number.

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, 7896 + ... + 9144.

It is an arithmetic number, because the mean of its divisors is an integer number (506250).

Almost surely, 210641480 is an apocalyptic number.

10641480 is a gapful number since it is divisible by the number (10) 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 10641480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16200000).

10641480 is an abundant number, since it is smaller than the sum of its proper divisors (21758520).

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

10641480 is a wasteful number, since it uses less digits than its factorization.

10641480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 10641480 is about 3262.1281397272. The cubic root of 10641480 is about 219.9550872505.

The spelling of 10641480 in words is "ten million, six hundred forty-one thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 71 120 142 213 284 355 426 568 710 852 1065 1249 1420 1704 2130 2498 2840 3747 4260 4996 6245 7494 8520 9992 12490 14988 18735 24980 29976 37470 49960 74940 88679 149880 177358 266037 354716 443395 532074 709432 886790 1064148 1330185 1773580 2128296 2660370 3547160 5320740 10641480