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1132284120 = 2335112292689
BaseRepresentation
bin100001101111101…
…0100100011011000
32220220120222210220
41003133110203120
54304331042440
6304204440040
740026153612
oct10337244330
92826528726
101132284120
11531165900
12277249020
13150775506
14aa543db2
15696118d0
hex437d48d8

1132284120 has 192 divisors, whose sum is σ = 3863916000. Its totient is φ = 264929280.

The previous prime is 1132284113. The next prime is 1132284151. The reversal of 1132284120 is 214822311.

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 47 ways as a sum of consecutive naturals, for example, 419736 + ... + 422424.

Almost surely, 21132284120 is an apocalyptic number.

1132284120 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 1132284120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1931958000).

1132284120 is an abundant number, since it is smaller than the sum of its proper divisors (2731631880).

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

1132284120 is a wasteful number, since it uses less digits than its factorization.

1132284120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2754 (or 2739 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 1132284120 is about 33649.4297128495. The cubic root of 1132284120 is about 1042.2817628274.

The spelling of 1132284120 in words is "one billion, one hundred thirty-two million, two hundred eighty-four thousand, one hundred twenty".