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8142390 = 233553569
BaseRepresentation
bin11111000011111000110110
3120022200021000
4133003320312
54041024030
6450304130
7126131514
oct37037066
916280230
108142390
114661553
122888046
1318c11a9
14111d4b4
15aac860
hex7c3e36

8142390 has 64 divisors (see below), whose sum is σ = 22161600. Its totient is φ = 2126592.

The previous prime is 8142389. The next prime is 8142397. The reversal of 8142390 is 932418.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8142397) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14026 + ... + 14594.

It is an arithmetic number, because the mean of its divisors is an integer number (346275).

Almost surely, 28142390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8142390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11080800).

8142390 is an abundant number, since it is smaller than the sum of its proper divisors (14019210).

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

8142390 is a wasteful number, since it uses less digits than its factorization.

8142390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 632 counting only the distinct ones).

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

The square root of 8142390 is about 2853.4873400806. The cubic root of 8142390 is about 201.1796122298.

The spelling of 8142390 in words is "eight million, one hundred forty-two thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 53 54 90 106 135 159 265 270 318 477 530 569 795 954 1138 1431 1590 1707 2385 2845 2862 3414 4770 5121 5690 7155 8535 10242 14310 15363 17070 25605 30157 30726 51210 60314 76815 90471 150785 153630 180942 271413 301570 452355 542826 814239 904710 1357065 1628478 2714130 4071195 8142390