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20626900 = 2252779373
BaseRepresentation
bin100111010101…
…1110111010100
31102210221210021
41032223313110
520240030100
62014034524
7340216510
oct116536724
942727707
1020626900
1110709328
126aa8a44
134372888
142a4d140
151c26a1a
hex13abdd4

20626900 has 72 divisors (see below), whose sum is σ = 51941120. Its totient is φ = 6963840.

The previous prime is 20626897. The next prime is 20626909. The reversal of 20626900 is 962602.

It is a super-2 number, since 2×206269002 = 850938007220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20626909) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55114 + ... + 55486.

Almost surely, 220626900 is an apocalyptic number.

20626900 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 20626900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25970560).

20626900 is an abundant number, since it is smaller than the sum of its proper divisors (31314220).

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

20626900 is a wasteful number, since it uses less digits than its factorization.

20626900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 20626900 is about 4541.6847094443. The cubic root of 20626900 is about 274.2487484802.

The spelling of 20626900 in words is "twenty million, six hundred twenty-six thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 79 100 140 158 175 316 350 373 395 553 700 746 790 1106 1492 1580 1865 1975 2212 2611 2765 3730 3950 5222 5530 7460 7900 9325 10444 11060 13055 13825 18650 26110 27650 29467 37300 52220 55300 58934 65275 117868 130550 147335 206269 261100 294670 412538 589340 736675 825076 1031345 1473350 2062690 2946700 4125380 5156725 10313450 20626900