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270608040 = 23345174
BaseRepresentation
bin10000001000010…
…010011010101000
3200212012022110000
4100020102122220
51023233424130
642504023000
76464062503
oct2010223250
9625168400
10270608040
1112982990a
1276761a60
13440a9801
1427d2213a
1518b55260
hex102126a8

270608040 has 200 divisors, whose sum is σ = 966389490. Its totient is φ = 67917312.

The previous prime is 270607991. The next prime is 270608053. The reversal of 270608040 is 40806072.

It can be written as a sum of positive squares in 5 ways, for example, as 169364196 + 101243844 = 13014^2 + 10062^2 .

It is a super-2 number, since 2×2706080402 = 146457422625283200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 270607995 and 270608013.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 867 × 765 × 408.

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 15918112 + ... + 15918128.

Almost surely, 2270608040 is an apocalyptic number.

270608040 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 270608040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483194745).

270608040 is an abundant number, since it is smaller than the sum of its proper divisors (695781450).

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

270608040 is an frugal number, since it uses more digits than its factorization.

270608040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 270608040 is about 16450.1683881959. The cubic root of 270608040 is about 646.8152219493.

The spelling of 270608040 in words is "two hundred seventy million, six hundred eight thousand, forty".