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270700704 = 2534181577
BaseRepresentation
bin10000001000101…
…001000010100000
3200212101000120000
4100020221002200
51023244410304
642510020000
76464626611
oct2010510240
9625330500
10270700704
1112989249a
12767a7600
134410ca41
1427d47c08
1518b72939
hex102290a0

270700704 has 120 divisors (see below), whose sum is σ = 801909108. Its totient is φ = 89579520.

The previous prime is 270700699. The next prime is 270700723. The reversal of 270700704 is 407007072.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 270668304 + 32400 = 16452^2 + 180^2 .

It is a super-2 number, since 2×2707007042 = 146557742292191232, which contains 22 as substring.

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

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 19 ways as a sum of consecutive naturals, for example, 468864 + ... + 469440.

Almost surely, 2270700704 is an apocalyptic number.

270700704 is a gapful number since it is divisible by the number (24) 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 270700704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400954554).

270700704 is an abundant number, since it is smaller than the sum of its proper divisors (531208404).

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

270700704 is a wasteful number, since it uses less digits than its factorization.

270700704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 2744, while the sum is 27.

The square root of 270700704 is about 16452.9846532476. The cubic root of 270700704 is about 646.8890429214.

Adding to 270700704 its reverse (407007072), we get a palindrome (677707776).

The spelling of 270700704 in words is "two hundred seventy million, seven hundred thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 181 216 288 324 362 432 543 577 648 724 864 1086 1154 1296 1448 1629 1731 2172 2308 2592 2896 3258 3462 4344 4616 4887 5193 5792 6516 6924 8688 9232 9774 10386 13032 13848 14661 15579 17376 18464 19548 20772 26064 27696 29322 31158 39096 41544 46737 52128 55392 58644 62316 78192 83088 93474 104437 117288 124632 156384 166176 186948 208874 234576 249264 313311 373896 417748 469152 498528 626622 747792 835496 939933 1253244 1495584 1670992 1879866 2506488 2819799 3341984 3759732 5012976 5639598 7519464 8459397 10025952 11279196 15038928 16918794 22558392 30077856 33837588 45116784 67675176 90233568 135350352 270700704