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1130136864 = 25336732077
BaseRepresentation
bin100001101011100…
…1000010100100000
32220202112220022220
41003113020110200
54303303334424
6304050431040
740002001443
oct10327102440
92822486286
101130136864
1152aa2960a
12276592480
131501a304c
14aa14565a
156933a579
hex435c8520

1130136864 has 48 divisors (see below), whose sum is σ = 2974785408. Its totient is φ = 375674112.

The previous prime is 1130136851. The next prime is 1130136907. The reversal of 1130136864 is 4686310311.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19194 + ... + 51270.

It is an arithmetic number, because the mean of its divisors is an integer number (61974696).

Almost surely, 21130136864 is an apocalyptic number.

It is an amenable number.

1130136864 is an abundant number, since it is smaller than the sum of its proper divisors (1844648544).

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

1130136864 is a wasteful number, since it uses less digits than its factorization.

1130136864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32457 (or 32449 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 1130136864 is about 33617.5082955296. The cubic root of 1130136864 is about 1041.6224871915.

It can be divided in two parts, 1130136 and 864, that multiplied together give a square (976437504 = 312482).

The spelling of 1130136864 in words is "one billion, one hundred thirty million, one hundred thirty-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 367 734 1101 1468 2202 2936 4404 5872 8808 11744 17616 32077 35232 64154 96231 128308 192462 256616 384924 513232 769848 1026464 1539696 3079392 11772259 23544518 35316777 47089036 70633554 94178072 141267108 188356144 282534216 376712288 565068432 1130136864