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1345152 = 27331113
BaseRepresentation
bin101001000011010000000
32112100012110
411020122000
5321021102
644455320
714301504
oct5103200
92470173
101345152
118396a6
1254a540
13381363
14270304
151b886c
hex148680

1345152 has 64 divisors (see below), whose sum is σ = 3720960. Its totient is φ = 430080.

The previous prime is 1345139. The next prime is 1345153. The reversal of 1345152 is 2515431.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (1345153) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11848 + ... + 11960.

It is an arithmetic number, because the mean of its divisors is an integer number (58140).

21345152 is an apocalyptic number.

1345152 is a gapful number since it is divisible by the number (12) 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 1345152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1860480).

1345152 is an abundant number, since it is smaller than the sum of its proper divisors (2375808).

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

1345152 is a wasteful number, since it uses less digits than its factorization.

1345152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 149 counting only the distinct ones).

The product of its digits is 600, while the sum is 21.

The square root of 1345152 is about 1159.8068804762. The cubic root of 1345152 is about 110.3884886128.

The spelling of 1345152 in words is "one million, three hundred forty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 113 124 128 186 192 226 248 339 372 384 452 496 678 744 904 992 1356 1488 1808 1984 2712 2976 3503 3616 3968 5424 5952 7006 7232 10509 10848 11904 14012 14464 21018 21696 28024 42036 43392 56048 84072 112096 168144 224192 336288 448384 672576 1345152