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1133900640 = 25335318467
BaseRepresentation
bin100001110010101…
…1111001101100000
32221000122010021000
41003211133031200
54310234310030
6304303232000
740045665525
oct10345371540
92830563230
101133900640
1153206a374
122778a8600
13150bc0232
14aa84514c
1569830860
hex4395f360

1133900640 has 192 divisors, whose sum is σ = 4097157120. Its totient is φ = 292584960.

The previous prime is 1133900627. The next prime is 1133900653. The reversal of 1133900640 is 460093311.

1133900640 is a `hidden beast` number, since 1 + 13 + 3 + 9 + 0 + 0 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (1133900627) and next prime (1133900653).

It is a super-2 number, since 2×11339006402 = 2571461322784819200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129687 + ... + 138153.

It is an arithmetic number, because the mean of its divisors is an integer number (21339360).

Almost surely, 21133900640 is an apocalyptic number.

1133900640 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 1133900640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2048578560).

1133900640 is an abundant number, since it is smaller than the sum of its proper divisors (2963256480).

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

1133900640 is a wasteful number, since it uses less digits than its factorization.

1133900640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8522 (or 8508 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 1133900640 is about 33673.4411665930. The cubic root of 1133900640 is about 1042.7775359620. Note that the first 3 decimals are identical.

Adding to 1133900640 its reverse (460093311), we get a palindrome (1593993951).

The spelling of 1133900640 in words is "one billion, one hundred thirty-three million, nine hundred thousand, six hundred forty".