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1140243720 = 2335721117261
BaseRepresentation
bin100001111110110…
…1011110100001000
32221110120101022220
41003331223310020
54313400244340
6305051214040
740153624500
oct10375536410
92843511286
101140243720
11535701a90
12279a47320
13152301435
14ab616a00
156a184ed0
hex43f6bd08

1140243720 has 576 divisors, whose sum is σ = 4686932160. Its totient is φ = 219340800.

The previous prime is 1140243707. The next prime is 1140243757. The reversal of 1140243720 is 273420411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18692490 + ... + 18692550.

It is an arithmetic number, because the mean of its divisors is an integer number (8137035).

Almost surely, 21140243720 is an apocalyptic number.

1140243720 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 1140243720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2343466080).

1140243720 is an abundant number, since it is smaller than the sum of its proper divisors (3546688440).

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

1140243720 is a wasteful number, since it uses less digits than its factorization.

1140243720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 1140243720 is about 33767.4950210998. The cubic root of 1140243720 is about 1044.7183661429.

The spelling of 1140243720 in words is "one billion, one hundred forty million, two hundred forty-three thousand, seven hundred twenty".