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146359890 = 23257322277
BaseRepresentation
bin10001011100101…
…00011001010010
3101012101212000200
420232110121102
5244432004030
622305000030
73425016135
oct1056243122
9335355020
10146359890
1175686396
1241023016
13244260b1
141561c21c
15ccb0d60
hex8b94652

146359890 has 48 divisors (see below), whose sum is σ = 385765848. Its totient is φ = 38492928.

The previous prime is 146359867. The next prime is 146359931. The reversal of 146359890 is 98953641.

It is a happy number.

146359890 is a `hidden beast` number, since 1 + 4 + 635 + 9 + 8 + 9 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 137663289 + 8696601 = 11733^2 + 2949^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4569 + ... + 17708.

Almost surely, 2146359890 is an apocalyptic number.

146359890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

146359890 is an abundant number, since it is smaller than the sum of its proper divisors (239405958).

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

146359890 is a wasteful number, since it uses less digits than its factorization.

146359890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22363 (or 22360 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 146359890 is about 12097.9291616375. The cubic root of 146359890 is about 526.9960476763.

The spelling of 146359890 in words is "one hundred forty-six million, three hundred fifty-nine thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 73 90 146 219 365 438 657 730 1095 1314 2190 3285 6570 22277 44554 66831 111385 133662 200493 222770 334155 400986 668310 1002465 1626221 2004930 3252442 4878663 8131105 9757326 14635989 16262210 24393315 29271978 48786630 73179945 146359890