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270422064 = 2435116323
BaseRepresentation
bin10000000111100…
…101000000110000
3200211211212100000
4100013211000300
51023212001224
642500030000
76462356343
oct2007450060
9624755300
10270422064
11129712110
1276692300
1344042c73
1427cb445a
1518b1a0c9
hex101e5030

270422064 has 120 divisors (see below), whose sum is σ = 856320192. Its totient is φ = 81933120.

The previous prime is 270422039. The next prime is 270422099. The reversal of 270422064 is 460224072.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39607 + ... + 45929.

Almost surely, 2270422064 is an apocalyptic number.

270422064 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 270422064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428160096).

270422064 is an abundant number, since it is smaller than the sum of its proper divisors (585898128).

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

270422064 is a wasteful number, since it uses less digits than its factorization.

270422064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6357 (or 6339 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 270422064 is about 16444.5147085586. The cubic root of 270422064 is about 646.6670129071.

The spelling of 270422064 in words is "two hundred seventy million, four hundred twenty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 81 88 99 108 132 144 162 176 198 216 243 264 297 324 396 432 486 528 594 648 792 891 972 1188 1296 1584 1782 1944 2376 2673 3564 3888 4752 5346 6323 7128 10692 12646 14256 18969 21384 25292 37938 42768 50584 56907 69553 75876 101168 113814 139106 151752 170721 208659 227628 278212 303504 341442 417318 455256 512163 556424 625977 682884 834636 910512 1024326 1112848 1251954 1365768 1536489 1669272 1877931 2048652 2503908 2731536 3072978 3338544 3755862 4097304 5007816 5633793 6145956 7511724 8194608 10015632 11267586 12291912 15023448 16901379 22535172 24583824 30046896 33802758 45070344 67605516 90140688 135211032 270422064