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1132604928 = 29327133773
BaseRepresentation
bin100001110000010…
…0010111000000000
32220221012021212200
41003200202320000
54304421324203
6304215353200
740031661120
oct10340427000
92827167780
101132604928
11531364934
12277382800
13150858540
14aa5c8c80
15696769a3
hex43822e00

1132604928 has 480 divisors, whose sum is σ = 4188440256. Its totient is φ = 286654464.

The previous prime is 1132604899. The next prime is 1132604929. The reversal of 1132604928 is 8294062311.

1132604928 is a `hidden beast` number, since 11 + 32 + 604 + 9 + 2 + 8 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1132604892 and 1132604901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132604929) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15515100 + ... + 15515172.

Almost surely, 21132604928 is an apocalyptic number.

1132604928 is a gapful number since it is divisible by the number (18) 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 1132604928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2094220128).

1132604928 is an abundant number, since it is smaller than the sum of its proper divisors (3055835328).

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

1132604928 is a wasteful number, since it uses less digits than its factorization.

1132604928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1132604928 is about 33654.1962911016. The cubic root of 1132604928 is about 1042.3801894643.

The spelling of 1132604928 in words is "one billion, one hundred thirty-two million, six hundred four thousand, nine hundred twenty-eight".