Search a number
-
+
1051331840 = 28513234167
BaseRepresentation
bin111110101010100…
…000110100000000
32201021021012011022
4332222200310000
54123120104330
6252153405012
735024113256
oct7652406400
92637235138
101051331840
1149a4a4199
12254109768
13139a70860
149d8b05d6
1562470ae5
hex3eaa0d00

1051331840 has 288 divisors, whose sum is σ = 2942182656. Its totient is φ = 356843520.

The previous prime is 1051331839. The next prime is 1051331843. The reversal of 1051331840 is 481331501.

It is a super-2 number, since 2×10513318402 = 2210597275595571200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1051331843) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15691487 + ... + 15691553.

It is an arithmetic number, because the mean of its divisors is an integer number (10215912).

Almost surely, 21051331840 is an apocalyptic number.

1051331840 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 1051331840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1471091328).

1051331840 is an abundant number, since it is smaller than the sum of its proper divisors (1890850816).

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

1051331840 is a wasteful number, since it uses less digits than its factorization.

1051331840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 1051331840 is about 32424.2477167937. The cubic root of 1051331840 is about 1016.8259140794.

The spelling of 1051331840 in words is "one billion, fifty-one million, three hundred thirty-one thousand, eight hundred forty".