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67145148 = 22327266449
BaseRepresentation
bin1000000000010…
…00110110111100
311200100022211100
410000020312330
5114142121043
610355053100
71443503310
oct400106674
9150308740
1067145148
11349a1164
121a5a1190
1310bac275
148cbbb40
155d64cd3
hex4008dbc

67145148 has 36 divisors (see below), whose sum is σ = 193975600. Its totient is φ = 19184256.

The previous prime is 67145129. The next prime is 67145149. The reversal of 67145148 is 84154176.

It is a happy number.

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 (67145149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 132973 + ... + 133476.

Almost surely, 267145148 is an apocalyptic number.

It is an amenable number.

67145148 is an abundant number, since it is smaller than the sum of its proper divisors (126830452).

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

67145148 is a wasteful number, since it uses less digits than its factorization.

67145148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266466 (or 266461 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 67145148 is about 8194.2143003463. The cubic root of 67145148 is about 406.4478948115.

Subtracting 67145148 from its reverse (84154176), we obtain a triangular number (17009028 = T5832).

The spelling of 67145148 in words is "sixty-seven million, one hundred forty-five thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 266449 532898 799347 1065796 1598694 1865143 2398041 3197388 3730286 4796082 5595429 7460572 9592164 11190858 16786287 22381716 33572574 67145148