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10683480 = 2335175237
BaseRepresentation
bin101000110000…
…010001011000
3202002202222110
4220300101120
510213332410
61020552320
7156544113
oct50602130
922082873
1010683480
116037725
1236b26a0
1322a09b2
1415c157a
15e10720
hexa30458

10683480 has 64 divisors (see below), whose sum is σ = 33942240. Its totient is φ = 2680832.

The previous prime is 10683467. The next prime is 10683503. The reversal of 10683480 is 8438601.

It is a happy number.

It is a super-2 number, since 2×106834802 = 228273489820800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 579 + ... + 4658.

Almost surely, 210683480 is an apocalyptic number.

10683480 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 10683480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16971120).

10683480 is an abundant number, since it is smaller than the sum of its proper divisors (23258760).

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

10683480 is a wasteful number, since it uses less digits than its factorization.

10683480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5268 (or 5264 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 10683480 is about 3268.5593156619. The cubic root of 10683480 is about 220.2440817175.

The spelling of 10683480 in words is "ten million, six hundred eighty-three thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 5237 10474 15711 20948 26185 31422 41896 52370 62844 78555 89029 104740 125688 157110 178058 209480 267087 314220 356116 445145 534174 628440 712232 890290 1068348 1335435 1780580 2136696 2670870 3561160 5341740 10683480