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133412340 = 223519711287
BaseRepresentation
bin1111111001110…
…11010111110100
3100022001001022210
413330323113310
5233123143330
621123253420
73206662155
oct774732764
9308031283
10133412340
1169342736
123881a270
1321841a19
1413a0b92c
15baa48b0
hex7f3b5f4

133412340 has 48 divisors (see below), whose sum is σ = 375484032. Its totient is φ = 35392896.

The previous prime is 133412333. The next prime is 133412347. The reversal of 133412340 is 43214331.

It is an interprime number because it is at equal distance from previous prime (133412333) and next prime (133412347).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133412347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6177 + ... + 17463.

It is an arithmetic number, because the mean of its divisors is an integer number (7822584).

Almost surely, 2133412340 is an apocalyptic number.

133412340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133412340 is an abundant number, since it is smaller than the sum of its proper divisors (242071692).

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

133412340 is a wasteful number, since it uses less digits than its factorization.

133412340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11496 (or 11494 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 133412340 is about 11550.4259661711. The cubic root of 133412340 is about 510.9738409281.

Adding to 133412340 its reverse (43214331), we get a palindrome (176626671).

The spelling of 133412340 in words is "one hundred thirty-three million, four hundred twelve thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 197 394 591 788 985 1182 1970 2364 2955 3940 5910 11287 11820 22574 33861 45148 56435 67722 112870 135444 169305 225740 338610 677220 2223539 4447078 6670617 8894156 11117695 13341234 22235390 26682468 33353085 44470780 66706170 133412340