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83300157 = 35342799
BaseRepresentation
bin1001111011100…
…00111100111101
312210202002100000
410331300330331
5132311101112
612133224513
72031016413
oct475607475
9183662300
1083300157
1143025706
1223a92139
1314347545
14b0c52b3
1574a67dc
hex4f70f3d

83300157 has 12 divisors (see below), whose sum is σ = 124779200. Its totient is φ = 55533276.

The previous prime is 83300141. The next prime is 83300167. The reversal of 83300157 is 75100338.

It is not a de Polignac number, because 83300157 - 24 = 83300141 is a prime.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 83300157.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83300137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 171157 + ... + 171642.

Almost surely, 283300157 is an apocalyptic number.

It is an amenable number.

83300157 is a deficient number, since it is larger than the sum of its proper divisors (41479043).

83300157 is an equidigital number, since it uses as much as digits as its factorization.

83300157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342814 (or 342802 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 83300157 is about 9126.8919682442. The cubic root of 83300157 is about 436.7322602809.

The spelling of 83300157 in words is "eighty-three million, three hundred thousand, one hundred fifty-seven".

Divisors: 1 3 9 27 81 243 342799 1028397 3085191 9255573 27766719 83300157