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146690000 = 245414669
BaseRepresentation
bin10001011111001…
…00111111010000
3101020000121211222
420233210333100
5300023040000
622320024212
73430562432
oct1057447720
9336017758
10146690000
1175891406
1241162068
1324510422
14156a6652
15cd28a85
hex8be4fd0

146690000 has 50 divisors (see below), whose sum is σ = 355175370. Its totient is φ = 58672000.

The previous prime is 146689997. The next prime is 146690009. The reversal of 146690000 is 96641.

146690000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 47169424 + 99520576 = 6868^2 + 9976^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a super-2 number, since 2×1466900002 = 43035912200000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146690009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2666 + ... + 17334.

Almost surely, 2146690000 is an apocalyptic number.

146690000 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 146690000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177587685).

146690000 is an abundant number, since it is smaller than the sum of its proper divisors (208485370).

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

146690000 is an equidigital number, since it uses as much as digits as its factorization.

146690000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14697 (or 14676 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 146690000 is about 12111.5647213727. The cubic root of 146690000 is about 527.3919576871.

The spelling of 146690000 in words is "one hundred forty-six million, six hundred ninety thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 14669 29338 58676 73345 117352 146690 234704 293380 366725 586760 733450 1173520 1466900 1833625 2933800 3667250 5867600 7334500 9168125 14669000 18336250 29338000 36672500 73345000 146690000