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130778592 = 2537712741
BaseRepresentation
bin1111100101110…
…00010111100000
3100010002020111120
413302320113200
5231434403332
620551012240
73145412460
oct762702740
9303066446
10130778592
116790398a
123796a080
132112bca9
1413523ba0
15b73432c
hex7cb85e0

130778592 has 96 divisors (see below), whose sum is σ = 398006784. Its totient is φ = 36825600.

The previous prime is 130778519. The next prime is 130778597. The reversal of 130778592 is 295877031.

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

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130778597) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46342 + ... + 49082.

It is an arithmetic number, because the mean of its divisors is an integer number (4145904).

Almost surely, 2130778592 is an apocalyptic number.

130778592 is a gapful number since it is divisible by the number (12) 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 130778592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199003392).

130778592 is an abundant number, since it is smaller than the sum of its proper divisors (267228192).

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

130778592 is a wasteful number, since it uses less digits than its factorization.

130778592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2832 (or 2824 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 42.

The square root of 130778592 is about 11435.8467985541. The cubic root of 130778592 is about 507.5890201126.

The spelling of 130778592 in words is "one hundred thirty million, seven hundred seventy-eight thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 71 84 96 112 142 168 213 224 284 336 426 497 568 672 852 994 1136 1491 1704 1988 2272 2741 2982 3408 3976 5482 5964 6816 7952 8223 10964 11928 15904 16446 19187 21928 23856 32892 38374 43856 47712 57561 65784 76748 87712 115122 131568 153496 194611 230244 263136 306992 389222 460488 583833 613984 778444 920976 1167666 1362277 1556888 1841952 2335332 2724554 3113776 4086831 4670664 5449108 6227552 8173662 9341328 10898216 16347324 18682656 21796432 32694648 43592864 65389296 130778592