Search a number
-
+
921872016 = 24351322361
BaseRepresentation
bin110110111100101…
…010011010010000
32101020122221200000
4312330222122100
53341444401031
6231250530000
731562532342
oct6674523220
92336587600
10921872016
114334110aa
12218896900
13118cb3c00
148a611292
1555dec3e6
hex36f2a690

921872016 has 360 divisors, whose sum is σ = 3072678336. Its totient is φ = 266872320.

The previous prime is 921871999. The next prime is 921872033. The reversal of 921872016 is 610278129.

921872016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (921871999) and next prime (921872033).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15112626 + ... + 15112686.

Almost surely, 2921872016 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 921872016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1536339168).

921872016 is an abundant number, since it is smaller than the sum of its proper divisors (2150806320).

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

921872016 is a wasteful number, since it uses less digits than its factorization.

921872016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 921872016 is about 30362.3453639537. The cubic root of 921872016 is about 973.2480538699.

The spelling of 921872016 in words is "nine hundred twenty-one million, eight hundred seventy-two thousand, sixteen".