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420112432 = 24179715923
BaseRepresentation
bin11001000010100…
…110100000110000
31002021111220220201
4121002212200300
51330022044212
6105404244544
713260616405
oct3102464060
91067456821
10420112432
111a6162763
12b8840754
1369063c4c
143db1c2ac
1526d37b57
hex190a6830

420112432 has 40 divisors (see below), whose sum is σ = 870788016. Its totient is φ = 195649536.

The previous prime is 420112379. The next prime is 420112447. The reversal of 420112432 is 234211024.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18423 + ... + 34345.

Almost surely, 2420112432 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 420112432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435394008).

420112432 is an abundant number, since it is smaller than the sum of its proper divisors (450675584).

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

420112432 is a wasteful number, since it uses less digits than its factorization.

420112432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16045 (or 16039 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 420112432 is about 20496.6444082928. The cubic root of 420112432 is about 748.9540572758.

Adding to 420112432 its reverse (234211024), we get a palindrome (654323456).

The spelling of 420112432 in words is "four hundred twenty million, one hundred twelve thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 17 34 68 97 136 194 272 388 776 1552 1649 3298 6596 13192 15923 26384 31846 63692 127384 254768 270691 541382 1082764 1544531 2165528 3089062 4331056 6178124 12356248 24712496 26257027 52514054 105028108 210056216 420112432