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133435840 = 265503829
BaseRepresentation
bin1111111010000…
…01000111000000
3100022002020120011
413331001013000
5233124421330
621123554304
73210120526
oct775010700
9308066504
10133435840
116935935a
123882b994
132184c625
1413a16316
15baab82a
hex7f411c0

133435840 has 56 divisors (see below), whose sum is σ = 318759840. Its totient is φ = 53203968.

The previous prime is 133435829. The next prime is 133435843. The reversal of 133435840 is 48534331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133435843) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 160546 + ... + 161374.

It is an arithmetic number, because the mean of its divisors is an integer number (5692140).

Almost surely, 2133435840 is an apocalyptic number.

133435840 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 133435840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159379920).

133435840 is an abundant number, since it is smaller than the sum of its proper divisors (185324000).

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

133435840 is an equidigital number, since it uses as much as digits as its factorization.

133435840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1349 (or 1339 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 133435840 is about 11551.4431998777. The cubic root of 133435840 is about 511.0038411023.

The spelling of 133435840 in words is "one hundred thirty-three million, four hundred thirty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 503 829 1006 1658 2012 2515 3316 4024 4145 5030 6632 8048 8290 10060 13264 16096 16580 20120 26528 32192 33160 40240 53056 66320 80480 132640 160960 265280 416987 833974 1667948 2084935 3335896 4169870 6671792 8339740 13343584 16679480 26687168 33358960 66717920 133435840