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1332720090 = 23251310311059
BaseRepresentation
bin100111101101111…
…1011000111011010
310102212202012021100
41033123323013122
510212134020330
6340124452230
745011635212
oct11733730732
93385665240
101332720090
11624316369
123123aa076
13183153090
14c8ddb242
157c005060
hex4f6fb1da

1332720090 has 96 divisors (see below), whose sum is σ = 3768186240. Its totient is φ = 324839808.

The previous prime is 1332720089. The next prime is 1332720133. The reversal of 1332720090 is 900272331.

It is a super-2 number, since 2×13327200902 = 3552285676579216200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114981 + ... + 126039.

It is an arithmetic number, because the mean of its divisors is an integer number (39251940).

Almost surely, 21332720090 is an apocalyptic number.

1332720090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1332720090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1884093120).

1332720090 is an abundant number, since it is smaller than the sum of its proper divisors (2435466150).

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

1332720090 is a wasteful number, since it uses less digits than its factorization.

1332720090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11188 (or 11185 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 1332720090 is about 36506.4390210823. The cubic root of 1332720090 is about 1100.4736500158.

The spelling of 1332720090 in words is "one billion, three hundred thirty-two million, seven hundred twenty thousand, ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 103 117 130 195 206 234 309 390 515 585 618 927 1030 1170 1339 1545 1854 2678 3090 4017 4635 6695 8034 9270 11059 12051 13390 20085 22118 24102 33177 40170 55295 60255 66354 99531 110590 120510 143767 165885 199062 287534 331770 431301 497655 718835 862602 995310 1139077 1293903 1437670 2156505 2278154 2587806 3417231 4313010 5695385 6469515 6834462 10251693 11390770 12939030 14808001 17086155 20503386 29616002 34172310 44424003 51258465 74040005 88848006 102516930 133272009 148080010 222120015 266544018 444240030 666360045 1332720090