Search a number
-
+
156840390 = 232572411033
BaseRepresentation
bin10010101100100…
…11000111000110
3101221010022120100
421112103013012
5310122343030
623321344530
73613056420
oct1126230706
9357108510
10156840390
1180594563
1244638146
1326655585
1416b89810
15db81360
hex95931c6

156840390 has 96 divisors (see below), whose sum is σ = 468426816. Its totient is φ = 35665920.

The previous prime is 156840379. The next prime is 156840391. The reversal of 156840390 is 93048651.

156840390 is a `hidden beast` number, since 1 + 568 + 4 + 0 + 3 + 90 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (156840391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 151314 + ... + 152346.

It is an arithmetic number, because the mean of its divisors is an integer number (4879446).

Almost surely, 2156840390 is an apocalyptic number.

156840390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 156840390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234213408).

156840390 is an abundant number, since it is smaller than the sum of its proper divisors (311586426).

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

156840390 is a wasteful number, since it uses less digits than its factorization.

156840390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294 (or 1291 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 156840390 is about 12523.5933341833. The cubic root of 156840390 is about 539.2861967871.

The spelling of 156840390 in words is "one hundred fifty-six million, eight hundred forty thousand, three hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 241 315 482 630 723 1033 1205 1446 1687 2066 2169 2410 3099 3374 3615 4338 5061 5165 6198 7230 7231 8435 9297 10122 10330 10845 14462 15183 15495 16870 18594 21690 21693 25305 30366 30990 36155 43386 46485 50610 65079 72310 75915 92970 108465 130158 151830 216930 248953 325395 497906 650790 746859 1244765 1493718 1742671 2240577 2489530 3485342 3734295 4481154 5228013 7468590 8713355 10456026 11202885 15684039 17426710 22405770 26140065 31368078 52280130 78420195 156840390