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413305740 = 22345255127
BaseRepresentation
bin11000101000101…
…000101110001100
31001210201002220000
4120220220232030
51321301240430
6105002324300
713146020001
oct3050505614
91053632800
10413305740
111a23337a1
12b64b9690
136781ca13
143cc698a8
1526440e60
hex18a28b8c

413305740 has 60 divisors (see below), whose sum is σ = 1296560496. Its totient is φ = 110214432.

The previous prime is 413305691. The next prime is 413305787. The reversal of 413305740 is 47503314.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 125944 + ... + 129183.

Almost surely, 2413305740 is an apocalyptic number.

It is an amenable number.

413305740 is an abundant number, since it is smaller than the sum of its proper divisors (883254756).

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

413305740 is a wasteful number, since it uses less digits than its factorization.

413305740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255148 (or 255137 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 413305740 is about 20329.9222821928. The cubic root of 413305740 is about 744.8871441439.

It can be divided in two parts, 413 and 305740, that added together give a triangular number (306153 = T782).

The spelling of 413305740 in words is "four hundred thirteen million, three hundred five thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 255127 510254 765381 1020508 1275635 1530762 2296143 2551270 3061524 3826905 4592286 5102540 6888429 7653810 9184572 11480715 13776858 15307620 20665287 22961430 27553716 34442145 41330574 45922860 68884290 82661148 103326435 137768580 206652870 413305740