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26129920 = 29559173
BaseRepresentation
bin110001110101…
…1011000000000
31211011112111211
41203223120000
523142124140
62332015504
7435046345
oct143533000
954145454
1026129920
1113827883
128901594
13554b5bb
1436827cc
1524622ea
hex18eb600

26129920 has 80 divisors (see below), whose sum is σ = 64080720. Its totient is φ = 10215424.

The previous prime is 26129911. The next prime is 26129923. The reversal of 26129920 is 2992162.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26129923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 150954 + ... + 151126.

It is an arithmetic number, because the mean of its divisors is an integer number (801009).

Almost surely, 226129920 is an apocalyptic number.

26129920 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 26129920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32040360).

26129920 is an abundant number, since it is smaller than the sum of its proper divisors (37950800).

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

26129920 is an equidigital number, since it uses as much as digits as its factorization.

26129920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 26129920 is about 5111.7433425398. The cubic root of 26129920 is about 296.7422327107.

The spelling of 26129920 in words is "twenty-six million, one hundred twenty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 59 64 80 118 128 160 173 236 256 295 320 346 472 512 590 640 692 865 944 1180 1280 1384 1730 1888 2360 2560 2768 3460 3776 4720 5536 6920 7552 9440 10207 11072 13840 15104 18880 20414 22144 27680 30208 37760 40828 44288 51035 55360 75520 81656 88576 102070 110720 151040 163312 204140 221440 326624 408280 442880 653248 816560 1306496 1633120 2612992 3266240 5225984 6532480 13064960 26129920