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1430130816 = 273545979
BaseRepresentation
bin101010100111110…
…0001000010000000
310200200001011200000
41111033201002000
510412103141231
6353524400000
750303624412
oct12517410200
93620034600
101430130816
116742a94a4
1233ab46000
1319a39b16a
14d7d169b2
15858476e6
hex553e1080

1430130816 has 96 divisors (see below), whose sum is σ = 4267863600. Its totient is φ = 476699904.

The previous prime is 1430130803. The next prime is 1430130857. The reversal of 1430130816 is 6180310341.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1430130816.

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, 8115 + ... + 54093.

Almost surely, 21430130816 is an apocalyptic number.

1430130816 is a gapful number since it is divisible by the number (16) 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 1430130816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2133931800).

1430130816 is an abundant number, since it is smaller than the sum of its proper divisors (2837732784).

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

1430130816 is an frugal number, since it uses more digits than its factorization.

1430130816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46008 (or 45984 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1430130816 is about 37817.0704312219. The cubic root of 1430130816 is about 1126.6575246779.

The spelling of 1430130816 in words is "one billion, four hundred thirty million, one hundred thirty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 864 972 1152 1296 1728 1944 2592 3456 3888 5184 7776 10368 15552 31104 45979 91958 137937 183916 275874 367832 413811 551748 735664 827622 1103496 1241433 1471328 1655244 2206992 2482866 2942656 3310488 3724299 4413984 4965732 5885312 6620976 7448598 8827968 9931464 11172897 13241952 14897196 17655936 19862928 22345794 26483904 29794392 39725856 44691588 52967808 59588784 79451712 89383176 119177568 158903424 178766352 238355136 357532704 476710272 715065408 1430130816