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270076040 = 23513598803
BaseRepresentation
bin10000000110010…
…000100010001000
3200211012021200022
4100012100202020
51023114413130
642444400012
76456415463
oct2006204210
9624167608
10270076040
111294a6143
1276546008
1343c51610
1427c242da
1518a9c7e5
hex10190888

270076040 has 64 divisors (see below), whose sum is σ = 665582400. Its totient is φ = 98019072.

The previous prime is 270076039. The next prime is 270076069. The reversal of 270076040 is 40670072.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26279 + ... + 35081.

It is an arithmetic number, because the mean of its divisors is an integer number (10399725).

Almost surely, 2270076040 is an apocalyptic number.

270076040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 270076040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332791200).

270076040 is an abundant number, since it is smaller than the sum of its proper divisors (395506360).

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

270076040 is a wasteful number, since it uses less digits than its factorization.

270076040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8886 (or 8882 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 26.

The square root of 270076040 is about 16433.9903857828. The cubic root of 270076040 is about 646.3910765789.

The spelling of 270076040 in words is "two hundred seventy million, seventy-six thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 59 65 104 118 130 236 260 295 472 520 590 767 1180 1534 2360 3068 3835 6136 7670 8803 15340 17606 30680 35212 44015 70424 88030 114439 176060 228878 352120 457756 519377 572195 915512 1038754 1144390 2077508 2288780 2596885 4155016 4577560 5193770 6751901 10387540 13503802 20775080 27007604 33759505 54015208 67519010 135038020 270076040