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133980210 = 233572131941
BaseRepresentation
bin1111111110001…
…10000000110010
3100100002220022000
413333012000302
5233244331320
621143354430
73214545600
oct777060062
9310086260
10133980210
11696a0351
1238a52a16
13219b0340
1413b18870
15bb67c90
hex7fc6032

133980210 has 384 divisors, whose sum is σ = 482630400. Its totient is φ = 26127360.

The previous prime is 133980181. The next prime is 133980241. The reversal of 133980210 is 12089331.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3267790 + ... + 3267830.

It is an arithmetic number, because the mean of its divisors is an integer number (1256850).

Almost surely, 2133980210 is an apocalyptic number.

133980210 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 133980210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241315200).

133980210 is an abundant number, since it is smaller than the sum of its proper divisors (348650190).

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

133980210 is a wasteful number, since it uses less digits than its factorization.

133980210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 133980210 is about 11574.9820734202. The cubic root of 133980210 is about 511.6978019135.

The spelling of 133980210 in words is "one hundred thirty-three million, nine hundred eighty thousand, two hundred ten".