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8157330 = 2325233389
BaseRepresentation
bin11111000111100010010010
3120100102202100
4133013202102
54042013310
6450501230
7126223206
oct37074222
916312670
108157330
1146717a5
122894816
1318c7c2c
141124b06
15ab1ec0
hex7c7892

8157330 has 48 divisors (see below), whose sum is σ = 21354840. Its totient is φ = 2160384.

The previous prime is 8157329. The next prime is 8157343. The reversal of 8157330 is 337518.

8157330 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4272489 + 3884841 = 2067^2 + 1971^2 .

It is a junction number, because it is equal to n+sod(n) for n = 8157294 and 8157303.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20776 + ... + 21164.

Almost surely, 28157330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8157330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10677420).

8157330 is an abundant number, since it is smaller than the sum of its proper divisors (13197510).

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

8157330 is a wasteful number, since it uses less digits than its factorization.

8157330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 632 counting only the distinct ones).

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

The square root of 8157330 is about 2856.1039897035. The cubic root of 8157330 is about 201.3025813252.

The spelling of 8157330 in words is "eight million, one hundred fifty-seven thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 233 389 466 699 778 1165 1167 1398 1945 2097 2330 2334 3495 3501 3890 4194 5835 6990 7002 10485 11670 17505 20970 35010 90637 181274 271911 453185 543822 815733 906370 1359555 1631466 2719110 4078665 8157330