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1132294240 = 255711731259
BaseRepresentation
bin100001101111101…
…0111000001100000
32220220121111200201
41003133113001200
54304331403430
6304204554544
740026225250
oct10337270140
92826544621
101132294240
11531172470
12277252a54
13150779cbc
14aa547960
15696148ca
hex437d7060

1132294240 has 192 divisors, whose sum is σ = 3383493120. Its totient is φ = 347811840.

The previous prime is 1132294213. The next prime is 1132294243. The reversal of 1132294240 is 424922311.

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 = 1132294199 and 1132294208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132294243) 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, 898731 + ... + 899989.

It is an arithmetic number, because the mean of its divisors is an integer number (17622360).

Almost surely, 21132294240 is an apocalyptic number.

1132294240 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 1132294240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1691746560).

1132294240 is an abundant number, since it is smaller than the sum of its proper divisors (2251198880).

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

1132294240 is a wasteful number, since it uses less digits than its factorization.

1132294240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1365 (or 1357 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 1132294240 is about 33649.5800865330. The cubic root of 1132294240 is about 1042.2848680139.

The spelling of 1132294240 in words is "one billion, one hundred thirty-two million, two hundred ninety-four thousand, two hundred forty".