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1135440864 = 25323942503
BaseRepresentation
bin100001110101101…
…0111001111100000
32221010112101001100
41003223113033200
54311133101424
6304400234400
740065042135
oct10353271740
92833471040
101135440864
11532a21588
1227830ba00
1315130c2cc
14aab2658c
1569a36dc9
hex43ad73e0

1135440864 has 36 divisors (see below), whose sum is σ = 3228910776. Its totient is φ = 378480192.

The previous prime is 1135440847. The next prime is 1135440869. The reversal of 1135440864 is 4680445311.

1135440864 is a `hidden beast` number, since 1 + 135 + 440 + 86 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1135440869) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1970964 + ... + 1971539.

It is an arithmetic number, because the mean of its divisors is an integer number (89691966).

Almost surely, 21135440864 is an apocalyptic number.

It is an amenable number.

1135440864 is an abundant number, since it is smaller than the sum of its proper divisors (2093469912).

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

1135440864 is a wasteful number, since it uses less digits than its factorization.

1135440864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3942519 (or 3942508 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 1135440864 is about 33696.3034174373. The cubic root of 1135440864 is about 1043.2494715865.

The spelling of 1135440864 in words is "one billion, one hundred thirty-five million, four hundred forty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 3942503 7885006 11827509 15770012 23655018 31540024 35482527 47310036 63080048 70965054 94620072 126160096 141930108 189240144 283860216 378480288 567720432 1135440864