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5906120 = 2351131433
BaseRepresentation
bin10110100001111011001000
3102010001200012
4112201323020
53002443440
6330331052
7101126003
oct26417310
912101605
105906120
1133743a0
121b89a88
1312ba35c
14ada53a
157b9e65
hex5a1ec8

5906120 has 64 divisors (see below), whose sum is σ = 14999040. Its totient is φ = 2073600.

The previous prime is 5906113. The next prime is 5906137. The reversal of 5906120 is 216095.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13424 + ... + 13856.

It is an arithmetic number, because the mean of its divisors is an integer number (234360).

Almost surely, 25906120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5906120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7499520).

5906120 is an abundant number, since it is smaller than the sum of its proper divisors (9092920).

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

5906120 is a wasteful number, since it uses less digits than its factorization.

5906120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 5906120 is about 2430.2510158418. The cubic root of 5906120 is about 180.7593435876.

The spelling of 5906120 in words is "five million, nine hundred six thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 44 55 62 88 110 124 155 220 248 310 341 433 440 620 682 866 1240 1364 1705 1732 2165 2728 3410 3464 4330 4763 6820 8660 9526 13423 13640 17320 19052 23815 26846 38104 47630 53692 67115 95260 107384 134230 147653 190520 268460 295306 536920 590612 738265 1181224 1476530 2953060 5906120