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133172424 = 233471117157
BaseRepresentation
bin1111111000000…
…00110011001000
3100021120212020000
413330000303020
5233043004144
621114203000
73204642540
oct774006310
9307525200
10133172424
1169199460
1238723460
1321789768
1413988320
15ba58769
hex7f00cc8

133172424 has 320 divisors, whose sum is σ = 495538560. Its totient is φ = 32348160.

The previous prime is 133172401. The next prime is 133172443. The reversal of 133172424 is 424271331.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 848154 + ... + 848310.

It is an arithmetic number, because the mean of its divisors is an integer number (1548558).

Almost surely, 2133172424 is an apocalyptic number.

133172424 is a gapful number since it is divisible by the number (14) 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 133172424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247769280).

133172424 is an abundant number, since it is smaller than the sum of its proper divisors (362366136).

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

133172424 is a wasteful number, since it uses less digits than its factorization.

133172424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 197 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 133172424 is about 11540.0357018512. The cubic root of 133172424 is about 510.6673616357.

The spelling of 133172424 in words is "one hundred thirty-three million, one hundred seventy-two thousand, four hundred twenty-four".