Search a number
-
+
21973000 = 235374373
BaseRepresentation
bin101001111010…
…0100000001000
31112100100021211
41103310200020
521111114000
62102542504
7354524140
oct123644010
945310254
1021973000
1111448705
127437a34
13472449a
142cbd920
151de07ba
hex14f4808

21973000 has 128 divisors (see below), whose sum is σ = 60952320. Its totient is φ = 7257600.

The previous prime is 21972997. The next prime is 21973001. The reversal of 21973000 is 37912.

It is not an unprimeable number, because it can be changed into a prime (21973001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 300964 + ... + 301036.

It is an arithmetic number, because the mean of its divisors is an integer number (476190).

Almost surely, 221973000 is an apocalyptic number.

21973000 is a gapful number since it is divisible by the number (20) 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 21973000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30476160).

21973000 is an abundant number, since it is smaller than the sum of its proper divisors (38979320).

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

21973000 is a wasteful number, since it uses less digits than its factorization.

21973000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 22.

The square root of 21973000 is about 4687.5366665233. The cubic root of 21973000 is about 280.0892572582.

The spelling of 21973000 in words is "twenty-one million, nine hundred seventy-three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 43 50 56 70 73 86 100 125 140 146 172 175 200 215 250 280 292 301 344 350 365 430 500 511 584 602 700 730 860 875 1000 1022 1075 1204 1400 1460 1505 1720 1750 1825 2044 2150 2408 2555 2920 3010 3139 3500 3650 4088 4300 5110 5375 6020 6278 7000 7300 7525 8600 9125 10220 10750 12040 12556 12775 14600 15050 15695 18250 20440 21500 21973 25112 25550 30100 31390 36500 37625 43000 43946 51100 60200 62780 63875 73000 75250 78475 87892 102200 109865 125560 127750 150500 156950 175784 219730 255500 301000 313900 392375 439460 511000 549325 627800 784750 878920 1098650 1569500 2197300 2746625 3139000 4394600 5493250 10986500 21973000