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133003240 = 23517195593
BaseRepresentation
bin1111110110101…
…11011111101000
3100021021021010221
413323113133220
5233022100430
621110415424
73203336356
oct773273750
9307237127
10133003240
1169093337
1238661574
132172a756
14139427d6
15ba2357a
hex7ed77e8

133003240 has 32 divisors (see below), whose sum is σ = 316862280. Its totient is φ = 50071552.

The previous prime is 133003231. The next prime is 133003253. The reversal of 133003240 is 42300331.

It can be written as a sum of positive squares in 4 ways, for example, as 132204004 + 799236 = 11498^2 + 894^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97117 + ... + 98476.

Almost surely, 2133003240 is an apocalyptic number.

133003240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133003240 is an abundant number, since it is smaller than the sum of its proper divisors (183859040).

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

133003240 is a wasteful number, since it uses less digits than its factorization.

133003240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195621 (or 195617 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 133003240 is about 11532.7030656304. The cubic root of 133003240 is about 510.4510171486.

Adding to 133003240 its reverse (42300331), we get a palindrome (175303571).

The spelling of 133003240 in words is "one hundred thirty-three million, three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 195593 391186 782372 977965 1564744 1955930 3325081 3911860 6650162 7823720 13300324 16625405 26600648 33250810 66501620 133003240