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524491140 = 2235172112437
BaseRepresentation
bin11111010000110…
…001100110000100
31100112220220120210
4133100301212010
52033232204030
6124013355420
715666046455
oct3720614604
91315826523
10524491140
1124a074a58
12127798b70
138487b7b4
144d92d12c
15310a4bb0
hex1f431984

524491140 has 96 divisors (see below), whose sum is σ = 1562972544. Its totient is φ = 130959360.

The previous prime is 524491111. The next prime is 524491153. The reversal of 524491140 is 41194425.

524491140 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 524491098 and 524491107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 214002 + ... + 216438.

It is an arithmetic number, because the mean of its divisors is an integer number (16280964).

Almost surely, 2524491140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 524491140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781486272).

524491140 is an abundant number, since it is smaller than the sum of its proper divisors (1038481404).

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

524491140 is a wasteful number, since it uses less digits than its factorization.

524491140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2677 (or 2675 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 524491140 is about 22901.7715471970. The cubic root of 524491140 is about 806.4536008852.

The spelling of 524491140 in words is "five hundred twenty-four million, four hundred ninety-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 211 255 340 422 510 633 844 1020 1055 1266 2110 2437 2532 3165 3587 4220 4874 6330 7174 7311 9748 10761 12185 12660 14348 14622 17935 21522 24370 29244 35870 36555 41429 43044 48740 53805 71740 73110 82858 107610 124287 146220 165716 207145 215220 248574 414290 497148 514207 621435 828580 1028414 1242870 1542621 2056828 2485740 2571035 3085242 5142070 6170484 7713105 8741519 10284140 15426210 17483038 26224557 30852420 34966076 43707595 52449114 87415190 104898228 131122785 174830380 262245570 524491140