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1076703840 = 2537517181
BaseRepresentation
bin100000000101101…
…0011001001100000
32210001000020000000
41000023103021200
54201114010330
6254501300000
735452555152
oct10013231140
92701006000
101076703840
11502853593
12260704600
131420b5184
14a2dd6ad2
15647d3560
hex402d3260

1076703840 has 384 divisors, whose sum is σ = 4061715840. Its totient is φ = 268738560.

The previous prime is 1076703833. The next prime is 1076703893. The reversal of 1076703840 is 483076701.

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 = 1076703795 and 1076703804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5948550 + ... + 5948730.

It is an arithmetic number, because the mean of its divisors is an integer number (10577385).

Almost surely, 21076703840 is an apocalyptic number.

1076703840 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 1076703840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2030857920).

1076703840 is an abundant number, since it is smaller than the sum of its proper divisors (2985012000).

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

1076703840 is an equidigital number, since it uses as much as digits as its factorization.

1076703840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 1076703840 is about 32813.1656503910. The cubic root of 1076703840 is about 1024.9407350227.

The spelling of 1076703840 in words is "one billion, seventy-six million, seven hundred three thousand, eight hundred forty".