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26197020 = 22345103157
BaseRepresentation
bin110001111101…
…1110000011100
31211021221120000
41203323300130
523201301040
62333254300
7435446103
oct143736034
954257500
1026197020
1113873233
128934390
135572cc5
14369d03a
152477130
hex18fbc1c

26197020 has 120 divisors (see below), whose sum is σ = 83507424. Its totient is φ = 6873984.

The previous prime is 26197009. The next prime is 26197021. The reversal of 26197020 is 2079162.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26197021) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 166782 + ... + 166938.

Almost surely, 226197020 is an apocalyptic number.

26197020 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 26197020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41753712).

26197020 is an abundant number, since it is smaller than the sum of its proper divisors (57310404).

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

26197020 is a wasteful number, since it uses less digits than its factorization.

26197020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 26197020 is about 5118.3024529623. The cubic root of 26197020 is about 296.9960207609.

The spelling of 26197020 in words is "twenty-six million, one hundred ninety-seven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 103 108 135 157 162 180 206 270 309 314 324 405 412 471 515 540 618 628 785 810 927 942 1030 1236 1413 1545 1570 1620 1854 1884 2060 2355 2781 2826 3090 3140 3708 4239 4635 4710 5562 5652 6180 7065 8343 8478 9270 9420 11124 12717 13905 14130 16171 16686 16956 18540 21195 25434 27810 28260 32342 33372 41715 42390 48513 50868 55620 63585 64684 80855 83430 84780 97026 127170 145539 161710 166860 194052 242565 254340 291078 323420 436617 485130 582156 727695 873234 970260 1309851 1455390 1746468 2183085 2619702 2910780 4366170 5239404 6549255 8732340 13098510 26197020