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133041640 = 23537241373
BaseRepresentation
bin1111110111000…
…00110111101000
3100021100012211011
413323200313220
5233024313030
621111313304
73203556334
oct773406750
9307305734
10133041640
116910a176
123867b834
1321742084
14139527c4
15ba2eb2a
hex7ee0de8

133041640 has 64 divisors (see below), whose sum is σ = 309537360. Its totient is φ = 51425280.

The previous prime is 133041617. The next prime is 133041673. The reversal of 133041640 is 46140331.

It can be written as a sum of positive squares in 8 ways, for example, as 105226564 + 27815076 = 10258^2 + 5274^2 .

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, 356494 + ... + 356866.

Almost surely, 2133041640 is an apocalyptic number.

133041640 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 133041640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154768680).

133041640 is an abundant number, since it is smaller than the sum of its proper divisors (176495720).

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

133041640 is a wasteful number, since it uses less digits than its factorization.

133041640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 133041640 is about 11534.3677763456. The cubic root of 133041640 is about 510.5001373379.

Adding to 133041640 its reverse (46140331), we get a palindrome (179181971).

The spelling of 133041640 in words is "one hundred thirty-three million, forty-one thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 241 296 370 373 482 740 746 964 1205 1480 1492 1865 1928 2410 2984 3730 4820 7460 8917 9640 13801 14920 17834 27602 35668 44585 55204 69005 71336 89170 89893 110408 138010 178340 179786 276020 356680 359572 449465 552040 719144 898930 1797860 3326041 3595720 6652082 13304164 16630205 26608328 33260410 66520820 133041640