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413565240 = 233511313307
BaseRepresentation
bin11000101001101…
…000000100111000
31001211012021212010
4120221220010320
51321333041430
6105012045520
713151150364
oct3051500470
91054167763
10413565240
111a24a0760
12b66038a0
13678b0b7a
143ccd62a4
1526492cb0
hex18a68138

413565240 has 64 divisors (see below), whose sum is σ = 1353490560. Its totient is φ = 100257920.

The previous prime is 413565211. The next prime is 413565253. The reversal of 413565240 is 42565314.

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 = 413565198 and 413565207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155334 + ... + 157973.

It is an arithmetic number, because the mean of its divisors is an integer number (21148290).

Almost surely, 2413565240 is an apocalyptic number.

413565240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413565240 is an abundant number, since it is smaller than the sum of its proper divisors (939925320).

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

413565240 is a wasteful number, since it uses less digits than its factorization.

413565240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313332 (or 313328 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 413565240 is about 20336.3034989154. The cubic root of 413565240 is about 745.0430075918.

The spelling of 413565240 in words is "four hundred thirteen million, five hundred sixty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 313307 626614 939921 1253228 1566535 1879842 2506456 3133070 3446377 3759684 4699605 6266140 6892754 7519368 9399210 10339131 12532280 13785508 17231885 18798420 20678262 27571016 34463770 37596840 41356524 51695655 68927540 82713048 103391310 137855080 206782620 413565240