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133195770 = 232510114653
BaseRepresentation
bin1111111000001…
…10011111111010
3100021122001020200
413330012133322
5233044231040
621114503030
73205100601
oct774063772
9307561220
10133195770
1169204a54
1238734a76
1321797286
1413992a38
15ba60630
hex7f067fa

133195770 has 48 divisors (see below), whose sum is σ = 349761672. Its totient is φ = 35164800.

The previous prime is 133195763. The next prime is 133195771. The reversal of 133195770 is 77591331.

It can be written as a sum of positive squares in 4 ways, for example, as 133194681 + 1089 = 11541^2 + 33^2 .

It is a super-2 number, since 2×1331957702 = 35482226291785800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133195771) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1764 + ... + 16416.

Almost surely, 2133195770 is an apocalyptic number.

133195770 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 133195770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174880836).

133195770 is an abundant number, since it is smaller than the sum of its proper divisors (216565902).

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

133195770 is a wasteful number, since it uses less digits than its factorization.

133195770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14767 (or 14764 counting only the distinct ones).

The product of its (nonzero) digits is 19845, while the sum is 36.

The square root of 133195770 is about 11541.0471795240. The cubic root of 133195770 is about 510.6972010055.

The spelling of 133195770 in words is "one hundred thirty-three million, one hundred ninety-five thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 101 202 303 505 606 909 1010 1515 1818 3030 4545 9090 14653 29306 43959 73265 87918 131877 146530 219795 263754 439590 659385 1318770 1479953 2959906 4439859 7399765 8879718 13319577 14799530 22199295 26639154 44398590 66597885 133195770