Search a number
-
+
1056414688 = 2574716137
BaseRepresentation
bin111110111101111…
…001101111100000
32201121211102111221
4332331321233200
54130420232223
6252454344424
735115243130
oct7675715740
92647742457
101056414688
114a2355a9a
1225595b114
1313ab30264
14a0434ac0
1562b26b5d
hex3ef79be0

1056414688 has 24 divisors (see below), whose sum is σ = 2376933552. Its totient is φ = 452749056.

The previous prime is 1056414677. The next prime is 1056414701. The reversal of 1056414688 is 8864146501.

It is a super-2 number, since 2×10564146882 = 2232023986044274688, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2357845 + ... + 2358292.

It is an arithmetic number, because the mean of its divisors is an integer number (99038898).

Almost surely, 21056414688 is an apocalyptic number.

It is an amenable number.

1056414688 is an abundant number, since it is smaller than the sum of its proper divisors (1320518864).

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

1056414688 is an equidigital number, since it uses as much as digits as its factorization.

1056414688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4716154 (or 4716146 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 43.

The square root of 1056414688 is about 32502.5335627855. The cubic root of 1056414688 is about 1018.4619546819.

It can be divided in two parts, 10564 and 14688, that added together give a palindrome (25252).

The spelling of 1056414688 in words is "one billion, fifty-six million, four hundred fourteen thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 4716137 9432274 18864548 33012959 37729096 66025918 75458192 132051836 150916384 264103672 528207344 1056414688