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133993746 = 232291072399
BaseRepresentation
bin1111111110010…
…01010100010010
3100100010120212100
413333021110102
5233300244441
621143541230
73214633215
oct777112422
9310116770
10133993746
11696aa537
1238a5a816
13219b6553
1413b1d77c
15bb6bcb6
hex7fc9512

133993746 has 48 divisors (see below), whose sum is σ = 303264000. Its totient is φ = 42703584.

The previous prime is 133993733. The next prime is 133993747. The reversal of 133993746 is 647399331.

It is a happy number.

It is a super-2 number, since 2×1339937462 = 35908647934225032, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (133993747) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54655 + ... + 57053.

It is an arithmetic number, because the mean of its divisors is an integer number (6318000).

Almost surely, 2133993746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133993746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151632000).

133993746 is an abundant number, since it is smaller than the sum of its proper divisors (169270254).

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

133993746 is a wasteful number, since it uses less digits than its factorization.

133993746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2543 (or 2540 counting only the distinct ones).

The product of its digits is 367416, while the sum is 45.

The square root of 133993746 is about 11575.5667679816. The cubic root of 133993746 is about 511.7150335832.

The spelling of 133993746 in words is "one hundred thirty-three million, nine hundred ninety-three thousand, seven hundred forty-six".

Divisors: 1 2 3 6 9 18 29 58 87 107 174 214 261 321 522 642 963 1926 2399 3103 4798 6206 7197 9309 14394 18618 21591 27927 43182 55854 69571 139142 208713 256693 417426 513386 626139 770079 1252278 1540158 2310237 4620474 7444097 14888194 22332291 44664582 66996873 133993746