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133963896 = 233113116369
BaseRepresentation
bin1111111110000…
…10000001111000
3100100002001220210
413333002001320
5233243321041
621143151120
73214450203
oct777020170
9310061823
10133963896
116968a070
1238a454a0
13219a5aa1
1413b1293a
15bb63016
hex7fc2078

133963896 has 64 divisors (see below), whose sum is σ = 377164800. Its totient is φ = 39283200.

The previous prime is 133963867. The next prime is 133963897. The reversal of 133963896 is 698369331.

It is a happy number.

133963896 is a nontrivial binomial coefficient, being equal to C(16369, 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133963897) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1 + ... + 16368.

It is an arithmetic number, because the mean of its divisors is an integer number (5893200).

Almost surely, 2133963896 is an apocalyptic number.

133963896 is the 16368-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133963896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188582400).

133963896 is an abundant number, since it is smaller than the sum of its proper divisors (243200904).

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

133963896 is a wasteful number, since it uses less digits than its factorization.

133963896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16420 (or 16416 counting only the distinct ones).

The product of its digits is 629856, while the sum is 48.

The square root of 133963896 is about 11574.2773424521. The cubic root of 133963896 is about 511.6770322372.

The spelling of 133963896 in words is "one hundred thirty-three million, nine hundred sixty-three thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 62 66 88 93 124 132 186 248 264 341 372 682 744 1023 1364 2046 2728 4092 8184 16369 32738 49107 65476 98214 130952 180059 196428 360118 392856 507439 540177 720236 1014878 1080354 1440472 1522317 2029756 2160708 3044634 4059512 4321416 5581829 6089268 11163658 12178536 16745487 22327316 33490974 44654632 66981948 133963896