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270646064 = 24132101991
BaseRepresentation
bin10000001000011…
…011101100110000
3200212021020121022
4100020123230300
51023241133224
642504515012
76464311403
oct2010335460
9625236538
10270646064
11129855437
127677ba68
13440c0c00
1427d31d3a
1518b6165e
hex1021bb30

270646064 has 60 divisors (see below), whose sum is σ = 574016832. Its totient is φ = 123552000.

The previous prime is 270646007. The next prime is 270646073. The reversal of 270646064 is 460646072.

It is a happy number.

It is an unprimeable number.

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, 272609 + ... + 273599.

Almost surely, 2270646064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 270646064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287008416).

270646064 is an abundant number, since it is smaller than the sum of its proper divisors (303370768).

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

270646064 is a wasteful number, since it uses less digits than its factorization.

270646064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 35.

The square root of 270646064 is about 16451.3240804502. The cubic root of 270646064 is about 646.8455158880.

The spelling of 270646064 in words is "two hundred seventy million, six hundred forty-six thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 52 101 104 169 202 208 338 404 676 808 991 1313 1352 1616 1982 2626 2704 3964 5252 7928 10504 12883 15856 17069 21008 25766 34138 51532 68276 100091 103064 136552 167479 200182 206128 273104 334958 400364 669916 800728 1301183 1339832 1601456 2602366 2679664 5204732 10409464 16915379 20818928 33830758 67661516 135323032 270646064