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120420432 = 2434118447
BaseRepresentation
bin1110010110101…
…11100001010000
322101120222210000
413023113201100
5221311423212
615541010000
72661361656
oct713274120
9271528700
10120420432
1161a79720
12343b3900
131bc433c2
1411dc8dd6
15a88a1dc
hex72d7850

120420432 has 100 divisors (see below), whose sum is σ = 380261376. Its totient is φ = 36486720.

The previous prime is 120420361. The next prime is 120420437. The reversal of 120420432 is 234024021.

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 (120420437) 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 19 ways as a sum of consecutive naturals, for example, 10033 + ... + 18479.

Almost surely, 2120420432 is an apocalyptic number.

120420432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120420432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190130688).

120420432 is an abundant number, since it is smaller than the sum of its proper divisors (259840944).

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

120420432 is a wasteful number, since it uses less digits than its factorization.

120420432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8478 (or 8463 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 120420432 is about 10973.6243784813. The cubic root of 120420432 is about 493.8177848079.

Adding to 120420432 its reverse (234024021), we get a palindrome (354444453).

The spelling of 120420432 in words is "one hundred twenty million, four hundred twenty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 81 88 99 108 132 144 162 176 198 216 264 297 324 396 432 528 594 648 792 891 1188 1296 1584 1782 2376 3564 4752 7128 8447 14256 16894 25341 33788 50682 67576 76023 92917 101364 135152 152046 185834 202728 228069 278751 304092 371668 405456 456138 557502 608184 684207 743336 836253 912276 1115004 1216368 1368414 1486672 1672506 1824552 2230008 2508759 2736828 3345012 3649104 4460016 5017518 5473656 6690024 7526277 10035036 10947312 13380048 15052554 20070072 30105108 40140144 60210216 120420432