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146991375 = 335397449
BaseRepresentation
bin10001100001011…
…10100100001111
3101020120221021000
420300232210033
5300112211000
622330311343
73433256166
oct1060564417
9336527230
10146991375
1175a77883
1241288553
13245b765b
14157443dd
15cd88000
hex8c2e90f

146991375 has 64 divisors (see below), whose sum is σ = 275184000. Its totient is φ = 77414400.

The previous prime is 146991349. The next prime is 146991389. The reversal of 146991375 is 573199641.

It is a Cunningham number, because it is equal to 121242-1.

It is not a de Polignac number, because 146991375 - 26 = 146991311 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 146991375.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 327151 + ... + 327599.

It is an arithmetic number, because the mean of its divisors is an integer number (4299750).

Almost surely, 2146991375 is an apocalyptic number.

146991375 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

146991375 is a deficient number, since it is larger than the sum of its proper divisors (128192625).

146991375 is an equidigital number, since it uses as much as digits as its factorization.

146991375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 554 counting only the distinct ones).

The product of its digits is 204120, while the sum is 45.

The square root of 146991375 is about 12123.9999587595. Note that the first 4 decimals coincide. The cubic root of 146991375 is about 527.7528866890.

The spelling of 146991375 in words is "one hundred forty-six million, nine hundred ninety-one thousand, three hundred seventy-five".

Divisors: 1 3 5 9 15 25 27 45 75 97 125 135 225 291 375 449 485 675 873 1125 1347 1455 2245 2425 2619 3375 4041 4365 6735 7275 11225 12123 12125 13095 20205 21825 33675 36375 43553 56125 60615 65475 101025 109125 130659 168375 217765 303075 327375 391977 505125 653295 1088825 1175931 1515375 1959885 3266475 5444125 5879655 9799425 16332375 29398275 48997125 146991375