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10974240 = 253257621
BaseRepresentation
bin101001110111…
…010000100000
3202122112211100
4221313100200
510302133430
61031114400
7162164604
oct51672040
922575740
1010974240
116216122
123812a00
132373144
141659504
15e6b960
hexa77420

10974240 has 72 divisors (see below), whose sum is σ = 37454508. Its totient is φ = 2926080.

The previous prime is 10974239. The next prime is 10974259. The reversal of 10974240 is 4247901.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 10732176 + 242064 = 3276^2 + 492^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2371 + ... + 5250.

Almost surely, 210974240 is an apocalyptic number.

10974240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10974240 is an abundant number, since it is smaller than the sum of its proper divisors (26480268).

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

10974240 is a wasteful number, since it uses less digits than its factorization.

10974240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7642 (or 7631 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 10974240 is about 3312.7390479783. The cubic root of 10974240 is about 222.2242681293.

The spelling of 10974240 in words is "ten million, nine hundred seventy-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 7621 15242 22863 30484 38105 45726 60968 68589 76210 91452 114315 121936 137178 152420 182904 228630 243872 274356 304840 342945 365808 457260 548712 609680 685890 731616 914520 1097424 1219360 1371780 1829040 2194848 2743560 3658080 5487120 10974240