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120242432 = 28835659
BaseRepresentation
bin1110010101011…
…00000100000000
322101020221121102
413022230010000
5221240224212
615533113532
72660021012
oct712540400
9271227542
10120242432
1161967a12
12343288a8
131bbb038b
1411d801b2
15a8525c2
hex72ac100

120242432 has 36 divisors (see below), whose sum is σ = 242949840. Its totient is φ = 59386368.

The previous prime is 120242417. The next prime is 120242443. The reversal of 120242432 is 234242021.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18419 + ... + 24077.

Almost surely, 2120242432 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 120242432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121474920).

120242432 is an abundant number, since it is smaller than the sum of its proper divisors (122707408).

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

120242432 is an frugal number, since it uses more digits than its factorization.

120242432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5758 (or 5744 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 120242432 is about 10965.5110232036. The cubic root of 120242432 is about 493.5743518357.

Adding to 120242432 its reverse (234242021), we get a palindrome (354484453).

It can be divided in two parts, 1202 and 42432, that added together give a palindrome (43634).

The spelling of 120242432 in words is "one hundred twenty million, two hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 83 128 166 256 332 664 1328 2656 5312 5659 10624 11318 21248 22636 45272 90544 181088 362176 469697 724352 939394 1448704 1878788 3757576 7515152 15030304 30060608 60121216 120242432