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1124089920 = 26335281463
BaseRepresentation
bin100001100000000…
…0100000001000000
32220100011200111000
41003000010001000
54300231334140
6303313052000
736566415042
oct10300040100
92810150430
101124089920
11527579438
12274557000
1314bb66885
14a940da92
1568a43a30
hex43004040

1124089920 has 224 divisors, whose sum is σ = 3988247040. Its totient is φ = 298045440.

The previous prime is 1124089877. The next prime is 1124089931. The reversal of 1124089920 is 299804211.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2427609 + ... + 2428071.

Almost surely, 21124089920 is an apocalyptic number.

1124089920 is a gapful number since it is divisible by the number (10) 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 1124089920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1994123520).

1124089920 is an abundant number, since it is smaller than the sum of its proper divisors (2864157120).

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

1124089920 is a wasteful number, since it uses less digits than its factorization.

1124089920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 1124089920 is about 33527.4502460297. The cubic root of 1124089920 is about 1039.7613850992.

The spelling of 1124089920 in words is "one billion, one hundred twenty-four million, eighty-nine thousand, nine hundred twenty".