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1352140512 = 25317897873
BaseRepresentation
bin101000010011000…
…0000011011100000
310111020021212002020
41100212000123200
510232121444022
6342101021440
745336001422
oct12046003340
93436255066
101352140512
116342801a8
123189b4880
13187192758
14cb814812
157da8e35c
hex509806e0

1352140512 has 48 divisors (see below), whose sum is σ = 3551803920. Its totient is φ = 450404352.

The previous prime is 1352140511. The next prime is 1352140513. The reversal of 1352140512 is 2150412531.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1352140511) and next prime (1352140513).

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1352140511) 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, 167808 + ... + 175680.

It is an arithmetic number, because the mean of its divisors is an integer number (73995915).

Almost surely, 21352140512 is an apocalyptic number.

1352140512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1352140512 is an abundant number, since it is smaller than the sum of its proper divisors (2199663408).

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

1352140512 is a wasteful number, since it uses less digits than its factorization.

1352140512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9675 (or 9667 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 1352140512 is about 36771.4632833669. The cubic root of 1352140512 is about 1105.7932680758.

The spelling of 1352140512 in words is "one billion, three hundred fifty-two million, one hundred forty thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1789 3578 5367 7156 7873 10734 14312 15746 21468 23619 28624 31492 42936 47238 57248 62984 85872 94476 125968 171744 188952 251936 377904 755808 14084797 28169594 42254391 56339188 84508782 112678376 169017564 225356752 338035128 450713504 676070256 1352140512