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1055719136 = 25233146271
BaseRepresentation
bin111110111011001…
…111111011100000
32201120112002101202
4332323033323200
54130231003021
6252431420332
735106315233
oct7673177340
92646462352
101055719136
114a1a2045a
122556846a8
1313a9487a4
14a02d341a
1562a3aa0b
hex3eecfee0

1055719136 has 48 divisors (see below), whose sum is σ = 2238824448. Its totient is φ = 488611200.

The previous prime is 1055719129. The next prime is 1055719151. The reversal of 1055719136 is 6319175501.

It is a super-2 number, since 2×10557191362 = 2229085788233172992, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1055719136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 320 + ... + 45951.

It is an arithmetic number, because the mean of its divisors is an integer number (46642176).

Almost surely, 21055719136 is an apocalyptic number.

1055719136 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 1055719136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1119412224).

1055719136 is an abundant number, since it is smaller than the sum of its proper divisors (1183105312).

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

1055719136 is a wasteful number, since it uses less digits than its factorization.

1055719136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46335 (or 46327 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 38.

The square root of 1055719136 is about 32491.8318350936. The cubic root of 1055719136 is about 1018.2383844037.

The spelling of 1055719136 in words is "one billion, fifty-five million, seven hundred nineteen thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 23 31 32 46 62 92 124 184 248 368 496 713 736 992 1426 2852 5704 11408 22816 46271 92542 185084 370168 740336 1064233 1434401 1480672 2128466 2868802 4256932 5737604 8513864 11475208 17027728 22950416 32991223 34055456 45900832 65982446 131964892 263929784 527859568 1055719136