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1126265140 = 22571113101557
BaseRepresentation
bin100001100100001…
…0111000100110100
32220111021012022201
41003020113010310
54301310441030
6303431434244
736624044560
oct10310270464
92814235281
101126265140
11528824740
12275225984
1314c4489a0
14a98186a0
1568d232ca
hex43217134

1126265140 has 192 divisors, whose sum is σ = 3212794368. Its totient is φ = 320256000.

The previous prime is 1126265111. The next prime is 1126265149. The reversal of 1126265140 is 415626211.

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

It is a junction number, because it is equal to n+sod(n) for n = 1126265099 and 1126265108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1126265149) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2021742 + ... + 2022298.

It is an arithmetic number, because the mean of its divisors is an integer number (16733304).

Almost surely, 21126265140 is an apocalyptic number.

1126265140 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 1126265140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1606397184).

1126265140 is an abundant number, since it is smaller than the sum of its proper divisors (2086529228).

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

1126265140 is a wasteful number, since it uses less digits than its factorization.

1126265140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 1126265140 is about 33559.8739568551. The cubic root of 1126265140 is about 1040.4316317323.

The spelling of 1126265140 in words is "one billion, one hundred twenty-six million, two hundred sixty-five thousand, one hundred forty".