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1023740928 = 21032722267
BaseRepresentation
bin111101000001010…
…000110000000000
32122100100102112200
4331001100300000
54044034202203
6245330153200
734240440300
oct7501206000
92570312480
101023740928
11485969791
12246a22800
13134130282
1499d6b600
155ed209a3
hex3d050c00

1023740928 has 198 divisors, whose sum is σ = 3440163636. Its totient is φ = 292368384.

The previous prime is 1023740909. The next prime is 1023740933. The reversal of 1023740928 is 8290473201.

1023740928 is a `hidden beast` number, since 10 + 237 + 409 + 2 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1023740892 and 1023740901.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 450451 + ... + 452717.

Almost surely, 21023740928 is an apocalyptic number.

1023740928 is a gapful number since it is divisible by the number (18) 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 1023740928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1720081818).

1023740928 is an abundant number, since it is smaller than the sum of its proper divisors (2416422708).

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

1023740928 is a wasteful number, since it uses less digits than its factorization.

1023740928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2307 (or 2279 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1023740928 is about 31995.9517439316. The cubic root of 1023740928 is about 1007.8518300728.

The spelling of 1023740928 in words is "one billion, twenty-three million, seven hundred forty thousand, nine hundred twenty-eight".