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1132411020 = 22351319431777
BaseRepresentation
bin100001101111111…
…0011100010001100
32220220211102212220
41003133303202030
54304344123040
6304211255340
740030222566
oct10337634214
92826742786
101132411020
11531242184
122772aa550
131507bb1c0
14aa578336
15696392d0
hex437f388c

1132411020 has 192 divisors, whose sum is σ = 3680033280. Its totient is φ = 257789952.

The previous prime is 1132410973. The next prime is 1132411073. The reversal of 1132411020 is 201142311.

1132411020 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 636372 + ... + 638148.

It is an arithmetic number, because the mean of its divisors is an integer number (19166840).

Almost surely, 21132411020 is an apocalyptic number.

1132411020 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 1132411020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1840016640).

1132411020 is an abundant number, since it is smaller than the sum of its proper divisors (2547622260).

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

1132411020 is a wasteful number, since it uses less digits than its factorization.

1132411020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1864 (or 1862 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1132411020 is about 33651.3152789011. The cubic root of 1132411020 is about 1042.3206990545.

Adding to 1132411020 its reverse (201142311), we get a palindrome (1333553331).

The spelling of 1132411020 in words is "one billion, one hundred thirty-two million, four hundred eleven thousand, twenty".