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8249130 = 2325151607
BaseRepresentation
bin11111011101111100101010
3120112002200100
4133131330222
54102433010
6452450230
7130054641
oct37357452
916462610
108249130
11472476a
122919976
13192a956
14114a358
15ace2c0
hex7ddf2a

8249130 has 48 divisors (see below), whose sum is σ = 21625344. Its totient is φ = 2181600.

The previous prime is 8249123. The next prime is 8249149. The reversal of 8249130 is 319428.

It is a junction number, because it is equal to n+sod(n) for n = 8249094 and 8249103.

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, 13287 + ... + 13893.

It is an arithmetic number, because the mean of its divisors is an integer number (450528).

Almost surely, 28249130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8249130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10812672).

8249130 is an abundant number, since it is smaller than the sum of its proper divisors (13376214).

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

8249130 is a wasteful number, since it uses less digits than its factorization.

8249130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 8249130 is about 2872.1298717154. The cubic root of 8249130 is about 202.0548979959.

The spelling of 8249130 in words is "eight million, two hundred forty-nine thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 151 302 453 607 755 906 1214 1359 1510 1821 2265 2718 3035 3642 4530 5463 6070 6795 9105 10926 13590 18210 27315 54630 91657 183314 274971 458285 549942 824913 916570 1374855 1649826 2749710 4124565 8249130