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132996253 = 1317733821
BaseRepresentation
bin1111110110101…
…01110010011101
3100021020220120011
413323111302131
5233021340003
621110323221
73203310115
oct773256235
9307226504
10132996253
1169089065
1238659511
1321727510
1413940045
15ba2146d
hex7ed5c9d

132996253 has 16 divisors (see below), whose sum is σ = 152043696. Its totient is φ = 115246080.

The previous prime is 132996247. The next prime is 132996289. The reversal of 132996253 is 352699231.

It can be written as a sum of positive squares in 8 ways, for example, as 3104644 + 129891609 = 1762^2 + 11397^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-132996253 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132996203) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161583 + ... + 162403.

It is an arithmetic number, because the mean of its divisors is an integer number (9502731).

Almost surely, 2132996253 is an apocalyptic number.

132996253 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

132996253 is a deficient number, since it is larger than the sum of its proper divisors (19047443).

132996253 is a wasteful number, since it uses less digits than its factorization.

132996253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1584.

The product of its digits is 87480, while the sum is 40.

The square root of 132996253 is about 11532.4001404738. The cubic root of 132996253 is about 510.4420785601.

The spelling of 132996253 in words is "one hundred thirty-two million, nine hundred ninety-six thousand, two hundred fifty-three".

Divisors: 1 13 17 221 733 821 9529 10673 12461 13957 161993 181441 601793 7823309 10230481 132996253