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133371630 = 23357217593
BaseRepresentation
bin1111111001100…
…01011011101110
3100021221222111000
413330301123232
5233120343010
621122341130
73206432400
oct774613356
9307858430
10133371630
1169315097
12387ba7a6
1321829332
14139dab70
15ba977c0
hex7f316ee

133371630 has 192 divisors, whose sum is σ = 438799680. Its totient is φ = 28643328.

The previous prime is 133371599. The next prime is 133371631. The reversal of 133371630 is 36173331.

133371630 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 133371594 and 133371603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133371631) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 224614 + ... + 225206.

It is an arithmetic number, because the mean of its divisors is an integer number (2285415).

Almost surely, 2133371630 is an apocalyptic number.

133371630 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 133371630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219399840).

133371630 is an abundant number, since it is smaller than the sum of its proper divisors (305428050).

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

133371630 is a wasteful number, since it uses less digits than its factorization.

133371630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 27.

The square root of 133371630 is about 11548.6635590444. The cubic root of 133371630 is about 510.9218620750.

The spelling of 133371630 in words is "one hundred thirty-three million, three hundred seventy-one thousand, six hundred thirty".