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23020400 = 24521319233
BaseRepresentation
bin101011111010…
…0001101110000
31121022120001102
41113310031300
521343123100
62141223532
7366445604
oct127641560
947276042
1023020400
1111aa3627
127861ba8
134a00150
1430b3504
15204acd5
hex15f4370

23020400 has 120 divisors (see below), whose sum is σ = 62964720. Its totient is φ = 8017920.

The previous prime is 23020357. The next prime is 23020411. The reversal of 23020400 is 402032.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98684 + ... + 98916.

It is an arithmetic number, because the mean of its divisors is an integer number (524706).

Almost surely, 223020400 is an apocalyptic number.

23020400 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 23020400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31482360).

23020400 is an abundant number, since it is smaller than the sum of its proper divisors (39944320).

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

23020400 is a wasteful number, since it uses less digits than its factorization.

23020400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 23020400 is about 4797.9578989399. The cubic root of 23020400 is about 284.4707526846.

Adding to 23020400 its reverse (402032), we get a palindrome (23422432).

The spelling of 23020400 in words is "twenty-three million, twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 16 19 20 25 26 38 40 50 52 65 76 80 95 100 104 130 152 190 200 208 233 247 260 304 325 380 400 466 475 494 520 650 760 932 950 988 1040 1165 1235 1300 1520 1864 1900 1976 2330 2470 2600 3029 3728 3800 3952 4427 4660 4940 5200 5825 6058 6175 7600 8854 9320 9880 11650 12116 12350 15145 17708 18640 19760 22135 23300 24232 24700 30290 35416 44270 46600 48464 49400 57551 60580 70832 75725 88540 93200 98800 110675 115102 121160 151450 177080 221350 230204 242320 287755 302900 354160 442700 460408 575510 605800 885400 920816 1151020 1211600 1438775 1770800 2302040 2877550 4604080 5755100 11510200 23020400