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120400830 = 23451113513
BaseRepresentation
bin1110010110100…
…10101110111110
322101112222220000
413023102232332
5221310311310
615540335130
72661250554
oct713225676
9271488800
10120400830
1161a65a20
12343a44a6
131bc374c4
1411dc1bd4
15a8844c0
hex72d2bbe

120400830 has 80 divisors (see below), whose sum is σ = 353201904. Its totient is φ = 29185920.

The previous prime is 120400823. The next prime is 120400831. The reversal of 120400830 is 38004021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120400831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2154 + ... + 15666.

Almost surely, 2120400830 is an apocalyptic number.

120400830 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 120400830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176600952).

120400830 is an abundant number, since it is smaller than the sum of its proper divisors (232801074).

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

120400830 is a wasteful number, since it uses less digits than its factorization.

120400830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13543 (or 13534 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 120400830 is about 10972.7312005717. The cubic root of 120400830 is about 493.7909888527.

Adding to 120400830 its reverse (38004021), we get a palindrome (158404851).

The spelling of 120400830 in words is "one hundred twenty million, four hundred thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 81 90 99 110 135 162 165 198 270 297 330 405 495 594 810 891 990 1485 1782 2970 4455 8910 13513 27026 40539 67565 81078 121617 135130 148643 202695 243234 297286 364851 405390 445929 608085 729702 743215 891858 1094553 1216170 1337787 1486430 1824255 2189106 2229645 2675574 3648510 4013361 4459290 5472765 6688935 8026722 10945530 12040083 13377870 20066805 24080166 40133610 60200415 120400830