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270425664 = 26321727617
BaseRepresentation
bin10000000111100…
…101111001000000
3200211212001021100
4100013211321000
51023212110124
642500054400
76462403005
oct2007457100
9624761240
10270425664
11129714893
1276694400
13440447b2
1427cb58ac
1518b1b1c9
hex101e5e40

270425664 has 84 divisors (see below), whose sum is σ = 820751724. Its totient is φ = 84836352.

The previous prime is 270425657. The next prime is 270425669. The reversal of 270425664 is 466524072.

It can be written as a sum of positive squares in 2 ways, for example, as 74649600 + 195776064 = 8640^2 + 13992^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (270425669) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 4017 + ... + 23600.

Almost surely, 2270425664 is an apocalyptic number.

270425664 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 270425664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410375862).

270425664 is an abundant number, since it is smaller than the sum of its proper divisors (550326060).

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

270425664 is a wasteful number, since it uses less digits than its factorization.

270425664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27652 (or 27639 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 270425664 is about 16444.6241671861. The cubic root of 270425664 is about 646.6698824842.

The spelling of 270425664 in words is "two hundred seventy million, four hundred twenty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 136 144 153 192 204 272 288 306 408 544 576 612 816 1088 1224 1632 2448 3264 4896 9792 27617 55234 82851 110468 165702 220936 248553 331404 441872 469489 497106 662808 883744 938978 994212 1325616 1408467 1767488 1877956 1988424 2651232 2816934 3755912 3976848 4225401 5302464 5633868 7511824 7953696 8450802 11267736 15023648 15907392 16901604 22535472 30047296 33803208 45070944 67606416 90141888 135212832 270425664