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146900 = 225213113
BaseRepresentation
bin100011110111010100
321110111202
4203313110
514200100
63052032
71151165
oct436724
9243452
10146900
11a0406
1271018
1351b30
143b76c
152d7d5
hex23dd4

146900 has 36 divisors (see below), whose sum is σ = 346332. Its totient is φ = 53760.

The previous prime is 146893. The next prime is 146917. The reversal of 146900 is 9641.

It can be written as a sum of positive squares in 6 ways, for example, as 55696 + 91204 = 236^2 + 302^2 .

It is a super-2 number, since 2×1469002 = 43159220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

146900 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1244 + ... + 1356.

2146900 is an apocalyptic number.

146900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173166).

146900 is an abundant number, since it is smaller than the sum of its proper divisors (199432).

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

146900 is a wasteful number, since it uses less digits than its factorization.

146900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 146900 is about 383.2753579347. The cubic root of 146900 is about 52.7643507446.

The spelling of 146900 in words is "one hundred forty-six thousand, nine hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 113 130 226 260 325 452 565 650 1130 1300 1469 2260 2825 2938 5650 5876 7345 11300 14690 29380 36725 73450 146900