Search a number
-
+
1142334720 = 283251719307
BaseRepresentation
bin100010000010110…
…1010010100000000
32221121111121122100
41010011222110000
54314414202340
6305204110400
740210453632
oct10405522400
92847447570
101142334720
115368aaa8a
1227a695400
13152884107
14ab9dca52
156a449830
hex4416a500

1142334720 has 432 divisors, whose sum is σ = 4419455040. Its totient is φ = 270729216.

The previous prime is 1142334719. The next prime is 1142334749. The reversal of 1142334720 is 274332411.

It is a happy number.

It is a super-2 number, since 2×11423347202 = 2609857225034956800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3720807 + ... + 3721113.

It is an arithmetic number, because the mean of its divisors is an integer number (10230220).

Almost surely, 21142334720 is an apocalyptic number.

1142334720 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 1142334720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2209727520).

1142334720 is an abundant number, since it is smaller than the sum of its proper divisors (3277120320).

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

1142334720 is a wasteful number, since it uses less digits than its factorization.

1142334720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 1142334720 is about 33798.4425676687. The cubic root of 1142334720 is about 1045.3565841235.

The spelling of 1142334720 in words is "one billion, one hundred forty-two million, three hundred thirty-four thousand, seven hundred twenty".