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146379128 = 23711092357
BaseRepresentation
bin10001011100110…
…01000101111000
3101012102211102012
420232121011320
5244433113003
622305225052
73425126210
oct1056310570
9335384365
10146379128
1175699895
1241032188
1324431a8c
1415625240
15ccb68d8
hex8b99178

146379128 has 32 divisors (see below), whose sum is σ = 314085600. Its totient is φ = 62650752.

The previous prime is 146379127. The next prime is 146379131. The reversal of 146379128 is 821973641.

It is a super-2 number, since 2×1463791282 = 42853698228080768, which contains 22 as substring.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146379127) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 60926 + ... + 63282.

It is an arithmetic number, because the mean of its divisors is an integer number (9815175).

Almost surely, 2146379128 is an apocalyptic number.

It is an amenable number.

146379128 is an abundant number, since it is smaller than the sum of its proper divisors (167706472).

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

146379128 is a wasteful number, since it uses less digits than its factorization.

146379128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3479 (or 3475 counting only the distinct ones).

The product of its digits is 72576, while the sum is 41.

The square root of 146379128 is about 12098.7242302649. The cubic root of 146379128 is about 527.0191366656.

The spelling of 146379128 in words is "one hundred forty-six million, three hundred seventy-nine thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 28 56 1109 2218 2357 4436 4714 7763 8872 9428 15526 16499 18856 31052 32998 62104 65996 131992 2613913 5227826 10455652 18297391 20911304 36594782 73189564 146379128