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133295460 = 22353797619
BaseRepresentation
bin1111111000111…
…10110101100100
3100021211002222220
413330132311210
5233110423320
621120552340
73205664334
oct774366544
9307732886
10133295460
1169272941
12387826b0
132180076c
14139bb0c4
15ba7ee40
hex7f1ed64

133295460 has 96 divisors (see below), whose sum is σ = 387891840. Its totient is φ = 34172928.

The previous prime is 133295411. The next prime is 133295489. The reversal of 133295460 is 64592331.

It is a super-2 number, since 2×1332954602 = 35535359313223200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 215031 + ... + 215649.

It is an arithmetic number, because the mean of its divisors is an integer number (4040540).

Almost surely, 2133295460 is an apocalyptic number.

133295460 is a gapful number since it is divisible by the number (10) 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 133295460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193945920).

133295460 is an abundant number, since it is smaller than the sum of its proper divisors (254596380).

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

133295460 is a wasteful number, since it uses less digits than its factorization.

133295460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 133295460 is about 11545.3653038784. The cubic root of 133295460 is about 510.8245791941.

The spelling of 133295460 in words is "one hundred thirty-three million, two hundred ninety-five thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 97 111 148 185 194 222 291 370 388 444 485 555 582 619 740 970 1110 1164 1238 1455 1857 1940 2220 2476 2910 3095 3589 3714 5820 6190 7178 7428 9285 10767 12380 14356 17945 18570 21534 22903 35890 37140 43068 45806 53835 60043 68709 71780 91612 107670 114515 120086 137418 180129 215340 229030 240172 274836 300215 343545 360258 458060 600430 687090 720516 900645 1200860 1374180 1801290 2221591 3602580 4443182 6664773 8886364 11107955 13329546 22215910 26659092 33323865 44431820 66647730 133295460