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130033776 = 24383127257
BaseRepresentation
bin1111100000000…
…10100001110000
3100001200101210210
413300002201300
5231242040101
620523024120
73136161135
oct760024160
9301611723
10130033776
1167445334
123766b040
1320c2ac82
14133ac58c
15b6387d6
hex7c02870

130033776 has 80 divisors (see below), whose sum is σ = 343977984. Its totient is φ = 42319872.

The previous prime is 130033769. The next prime is 130033781. The reversal of 130033776 is 677330031.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 505840 + ... + 506096.

Almost surely, 2130033776 is an apocalyptic number.

130033776 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 130033776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171988992).

130033776 is an abundant number, since it is smaller than the sum of its proper divisors (213944208).

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

130033776 is a wasteful number, since it uses less digits than its factorization.

130033776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 30.

The square root of 130033776 is about 11403.2353303788. The cubic root of 130033776 is about 506.6235705111.

The spelling of 130033776 in words is "one hundred thirty million, thirty-three thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 83 127 166 249 254 257 332 381 498 508 514 664 762 771 996 1016 1028 1328 1524 1542 1992 2032 2056 3048 3084 3984 4112 6096 6168 10541 12336 21082 21331 31623 32639 42164 42662 63246 63993 65278 84328 85324 97917 126492 127986 130556 168656 170648 195834 252984 255972 261112 341296 391668 505968 511944 522224 783336 1023888 1566672 2709037 5418074 8127111 10836148 16254222 21672296 32508444 43344592 65016888 130033776