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1920930432 = 2738956207
BaseRepresentation
bin111001001111111…
…0001001010000000
311221212120101011120
41302133301022000
512413224233212
6514340112240
765413432161
oct16237611200
94855511146
101920930432
118a6351513
12457395680
13247c81635
14143195768
15b399488c
hex727f1280

1920930432 has 64 divisors (see below), whose sum is σ = 5159894400. Its totient is φ = 633104384.

The previous prime is 1920930383. The next prime is 1920930439. The reversal of 1920930432 is 2340390291.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 1920930393 and 1920930402.

It is not an unprimeable number, because it can be changed into a prime (1920930439) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6073 + ... + 62279.

It is an arithmetic number, because the mean of its divisors is an integer number (80623350).

Almost surely, 21920930432 is an apocalyptic number.

1920930432 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 1920930432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2579947200).

1920930432 is an abundant number, since it is smaller than the sum of its proper divisors (3238963968).

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

1920930432 is an equidigital number, since it uses as much as digits as its factorization.

1920930432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56313 (or 56301 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 1920930432 is about 43828.4203685234. The cubic root of 1920930432 is about 1243.0937386091.

The spelling of 1920930432 in words is "one billion, nine hundred twenty million, nine hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 89 96 128 178 192 267 356 384 534 712 1068 1424 2136 2848 4272 5696 8544 11392 17088 34176 56207 112414 168621 224828 337242 449656 674484 899312 1348968 1798624 2697936 3597248 5002423 5395872 7194496 10004846 10791744 15007269 20009692 21583488 30014538 40019384 60029076 80038768 120058152 160077536 240116304 320155072 480232608 640310144 960465216 1920930432