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146668140 = 22325814823
BaseRepresentation
bin10001011110111…
…11101001101100
3101012222111212100
420233133221230
5300021340030
622315335100
73430441623
oct1057375154
9335874770
10146668140
1175876a43
1241151490
13245034a8
141569c6ba
15cd22360
hex8bdfa6c

146668140 has 36 divisors (see below), whose sum is σ = 444893904. Its totient is φ = 39111456.

The previous prime is 146668139. The next prime is 146668157. The reversal of 146668140 is 41866641.

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 146668095 and 146668104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 407232 + ... + 407591.

It is an arithmetic number, because the mean of its divisors is an integer number (12358164).

Almost surely, 2146668140 is an apocalyptic number.

146668140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146668140 is an abundant number, since it is smaller than the sum of its proper divisors (298225764).

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

146668140 is a wasteful number, since it uses less digits than its factorization.

146668140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814838 (or 814833 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 146668140 is about 12110.6622444852. The cubic root of 146668140 is about 527.3657587621.

The spelling of 146668140 in words is "one hundred forty-six million, six hundred sixty-eight thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 814823 1629646 2444469 3259292 4074115 4888938 7333407 8148230 9777876 12222345 14666814 16296460 24444690 29333628 36667035 48889380 73334070 146668140