[go: up one dir, main page]

Search a number
-
+
16830900 = 22325218701
BaseRepresentation
bin100000000110…
…1000110110100
31011200002122200
41000031012310
513302042100
61400424500
7263026452
oct100150664
934602580
1016830900
119556339
125778130
133643b18
1423419d2
151726e00
hex100d1b4

16830900 has 54 divisors (see below), whose sum is σ = 52758342. Its totient is φ = 4488000.

The previous prime is 16830889. The next prime is 16830907. The reversal of 16830900 is 903861.

It can be written as a sum of positive squares in 3 ways, for example, as 86436 + 16744464 = 294^2 + 4092^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16830907) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8451 + ... + 10250.

Almost surely, 216830900 is an apocalyptic number.

16830900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16830900 is an abundant number, since it is smaller than the sum of its proper divisors (35927442).

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

16830900 is a wasteful number, since it uses less digits than its factorization.

16830900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18721 (or 18711 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 16830900 is about 4102.5479887504. The cubic root of 16830900 is about 256.2727602231.

The spelling of 16830900 in words is "sixteen million, eight hundred thirty thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 18701 37402 56103 74804 93505 112206 168309 187010 224412 280515 336618 374020 467525 561030 673236 841545 935050 1122060 1402575 1683090 1870100 2805150 3366180 4207725 5610300 8415450 16830900