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1140820452 = 22321012111487
BaseRepresentation
bin100001111111111…
…1000100111100100
32221111122200110100
41003333320213210
54314022223302
6305111424100
740161546102
oct10377704744
92844580410
101140820452
11535a66322
1227a085030
13152473ab5
14ab726c72
156a24ad1c
hex43ff89e4

1140820452 has 72 divisors (see below), whose sum is σ = 2928062592. Its totient is φ = 374472000.

The previous prime is 1140820441. The next prime is 1140820453. The reversal of 1140820452 is 2540280411.

1140820452 is a `hidden beast` number, since 1 + 1 + 408 + 204 + 52 = 666.

It is not an unprimeable number, because it can be changed into a prime (1140820453) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 766453 + ... + 767939.

It is an arithmetic number, because the mean of its divisors is an integer number (40667536).

Almost surely, 21140820452 is an apocalyptic number.

1140820452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1140820452 is an abundant number, since it is smaller than the sum of its proper divisors (1787242140).

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

1140820452 is a wasteful number, since it uses less digits than its factorization.

1140820452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1809 (or 1804 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 1140820452 is about 33776.0336925460. The cubic root of 1140820452 is about 1044.8944749712.

The spelling of 1140820452 in words is "one billion, one hundred forty million, eight hundred twenty thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 101 202 211 303 404 422 606 633 844 909 1212 1266 1487 1818 1899 2532 2974 3636 3798 4461 5948 7596 8922 13383 17844 21311 26766 42622 53532 63933 85244 127866 150187 191799 255732 300374 313757 383598 450561 600748 627514 767196 901122 941271 1255028 1351683 1802244 1882542 2703366 2823813 3765084 5406732 5647626 11295252 31689457 63378914 95068371 126757828 190136742 285205113 380273484 570410226 1140820452