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26379920 = 2457172163
BaseRepresentation
bin110010010100…
…0011010010000
31211122020110002
41210220122100
523223124140
62341225132
7440140250
oct144503220
954566402
1026379920
1113988696
128a021a8
135608328
143709960
1524b1415
hex1928690

26379920 has 120 divisors (see below), whose sum is σ = 74917824. Its totient is φ = 8460288.

The previous prime is 26379911. The next prime is 26379929. The reversal of 26379920 is 2997362.

It is an interprime number because it is at equal distance from previous prime (26379911) and next prime (26379929).

It is not an unprimeable number, because it can be changed into a prime (26379929) 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, 161759 + ... + 161921.

Almost surely, 226379920 is an apocalyptic number.

26379920 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 26379920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37458912).

26379920 is an abundant number, since it is smaller than the sum of its proper divisors (48537904).

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

26379920 is a wasteful number, since it uses less digits than its factorization.

26379920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 38.

The square root of 26379920 is about 5136.1386274126. The cubic root of 26379920 is about 297.6855984741.

The spelling of 26379920 in words is "twenty-six million, three hundred seventy-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 56 68 70 80 85 112 119 136 140 163 170 238 272 280 289 326 340 476 560 578 595 652 680 815 952 1141 1156 1190 1304 1360 1445 1630 1904 2023 2282 2312 2380 2608 2771 2890 3260 4046 4564 4624 4760 5542 5705 5780 6520 8092 9128 9520 10115 11084 11410 11560 13040 13855 16184 18256 19397 20230 22168 22820 23120 27710 32368 38794 40460 44336 45640 47107 55420 77588 80920 91280 94214 96985 110840 155176 161840 188428 193970 221680 235535 310352 329749 376856 387940 471070 659498 753712 775880 942140 1318996 1551760 1648745 1884280 2637992 3297490 3768560 5275984 6594980 13189960 26379920