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474013540 = 2257111323677
BaseRepresentation
bin11100010000001…
…101111101100100
31020000221101100001
4130100031331210
51432321413130
6115011431044
714514022450
oct3420157544
91200841301
10474013540
11223628430
121128b5484
1377286bb0
1446d4d660
152b9336ca
hex1c40df64

474013540 has 96 divisors (see below), whose sum is σ = 1336575744. Its totient is φ = 136373760.

The previous prime is 474013523. The next prime is 474013541. The reversal of 474013540 is 45310474.

It is a super-2 number, since 2×4740135402 = 449377672206663200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 474013499 and 474013508.

It is not an unprimeable number, because it can be changed into a prime (474013541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8182 + ... + 31858.

It is an arithmetic number, because the mean of its divisors is an integer number (13922664).

Almost surely, 2474013540 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 474013540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668287872).

474013540 is an abundant number, since it is smaller than the sum of its proper divisors (862562204).

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

474013540 is a wasteful number, since it uses less digits than its factorization.

474013540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23717 (or 23715 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 474013540 is about 21771.8520112553. The cubic root of 474013540 is about 779.7048741033.

The spelling of 474013540 in words is "four hundred seventy-four million, thirteen thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 130 140 143 154 182 220 260 286 308 364 385 455 572 715 770 910 1001 1430 1540 1820 2002 2860 4004 5005 10010 20020 23677 47354 94708 118385 165739 236770 260447 307801 331478 473540 520894 615602 662956 828695 1041788 1231204 1302235 1539005 1657390 1823129 2154607 2604470 3078010 3314780 3385811 3646258 4309214 5208940 6156020 6771622 7292516 8618428 9115645 10773035 13543244 16929055 18231290 21546070 23700677 33858110 36462580 43092140 47401354 67716220 94802708 118503385 237006770 474013540