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1075872312 = 233214942671
BaseRepresentation
bin100000000100000…
…1000001000111000
32202222102222100200
41000020020020320
54200410403222
6254431402200
735442522654
oct10010101070
92688388320
101075872312
11502335879
12260383360
13141b83848
14a2c5ba64
15646bbeac
hex40208238

1075872312 has 24 divisors (see below), whose sum is σ = 2913821040. Its totient is φ = 358624080.

The previous prime is 1075872293. The next prime is 1075872313. The reversal of 1075872312 is 2132785701.

It is a tau number, because it is divible by the number of its divisors (24).

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 (1075872313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7471264 + ... + 7471407.

It is an arithmetic number, because the mean of its divisors is an integer number (121409210).

Almost surely, 21075872312 is an apocalyptic number.

1075872312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1075872312 is an abundant number, since it is smaller than the sum of its proper divisors (1837948728).

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

1075872312 is a wasteful number, since it uses less digits than its factorization.

1075872312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14942683 (or 14942676 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 1075872312 is about 32800.4925572772. The cubic root of 1075872312 is about 1024.6768164529.

The spelling of 1075872312 in words is "one billion, seventy-five million, eight hundred seventy-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 14942671 29885342 44828013 59770684 89656026 119541368 134484039 179312052 268968078 358624104 537936156 1075872312