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1051918140 = 22357133741127
BaseRepresentation
bin111110101100101…
…111111100111100
32201022100222102010
4332230233330330
54123242340030
6252214131220
735032104510
oct7654577474
92638328363
101051918140
1149a864739
12254350b10
13139c17690
149d9c4140
15625396b0
hex3eb2ff3c

1051918140 has 384 divisors, whose sum is σ = 3843883008. Its totient is φ = 209018880.

The previous prime is 1051918123. The next prime is 1051918169. The reversal of 1051918140 is 418191501.

It is a happy number.

It is a super-2 number, since 2×10519181402 = 2213063546522119200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1051918098 and 1051918107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8282757 + ... + 8282883.

It is an arithmetic number, because the mean of its divisors is an integer number (10010112).

Almost surely, 21051918140 is an apocalyptic number.

1051918140 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 1051918140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1921941504).

1051918140 is an abundant number, since it is smaller than the sum of its proper divisors (2791964868).

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

1051918140 is a wasteful number, since it uses less digits than its factorization.

1051918140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 30.

The square root of 1051918140 is about 32433.2875299437. The cubic root of 1051918140 is about 1017.0148979389.

The spelling of 1051918140 in words is "one billion, fifty-one million, nine hundred eighteen thousand, one hundred forty".