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1042693120 = 2105747619
BaseRepresentation
bin111110001001100…
…011110000000000
32200200000022001201
4332021203300000
54113412134440
6251244310544
734560513430
oct7611436000
92620008051
101042693120
11495633857
12251242454
131380377a1
149c6a22c0
156181619a
hex3e263c00

1042693120 has 176 divisors, whose sum is σ = 2924098560. Its totient is φ = 349323264.

The previous prime is 1042693103. The next prime is 1042693151. The reversal of 1042693120 is 213962401.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1684171 + ... + 1684789.

Almost surely, 21042693120 is an apocalyptic number.

1042693120 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 1042693120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1462049280).

1042693120 is an abundant number, since it is smaller than the sum of its proper divisors (1881405440).

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

1042693120 is an equidigital number, since it uses as much as digits as its factorization.

1042693120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 1042693120 is about 32290.7590496105. The cubic root of 1042693120 is about 1014.0331884353.

The spelling of 1042693120 in words is "one billion, forty-two million, six hundred ninety-three thousand, one hundred twenty".