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10632480 = 2535171303
BaseRepresentation
bin101000100011…
…110100100000
3202000012000120
4220203310200
510210214410
61015520240
7156242325
oct50436440
922005016
1010632480
116002381
123689080
132283711
1415aab4c
15e00570
hexa23d20

10632480 has 96 divisors (see below), whose sum is σ = 35489664. Its totient is φ = 2666496.

The previous prime is 10632467. The next prime is 10632493. The reversal of 10632480 is 8423601.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10632467) and next prime (10632493).

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

It is a super-2 number, since 2×106324802 = 226099261900800, 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 10632480.

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, 7509 + ... + 8811.

It is an arithmetic number, because the mean of its divisors is an integer number (369684).

Almost surely, 210632480 is an apocalyptic number.

10632480 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 10632480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17744832).

10632480 is an abundant number, since it is smaller than the sum of its proper divisors (24857184).

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

10632480 is a wasteful number, since it uses less digits than its factorization.

10632480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 10632480 is about 3260.7483803569. The cubic root of 10632480 is about 219.8930609745.

The spelling of 10632480 in words is "ten million, six hundred thirty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 68 80 85 96 102 120 136 160 170 204 240 255 272 340 408 480 510 544 680 816 1020 1303 1360 1632 2040 2606 2720 3909 4080 5212 6515 7818 8160 10424 13030 15636 19545 20848 22151 26060 31272 39090 41696 44302 52120 62544 66453 78180 88604 104240 110755 125088 132906 156360 177208 208480 221510 265812 312720 332265 354416 443020 531624 625440 664530 708832 886040 1063248 1329060 1772080 2126496 2658120 3544160 5316240 10632480