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26697140 = 22517233337
BaseRepresentation
bin110010111010…
…1110110110100
31212020100120222
41211311312310
523313302030
62352113512
7442631141
oct145656664
955210528
1026697140
1114084a58
128b35898
1356b9832
14378d3c8
1525253e5
hex1975db4

26697140 has 48 divisors (see below), whose sum is σ = 59793552. Its totient is φ = 9977856.

The previous prime is 26697137. The next prime is 26697163. The reversal of 26697140 is 4179662.

It can be written as a sum of positive squares in 8 ways, for example, as 1073296 + 25623844 = 1036^2 + 5062^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 26697140.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79052 + ... + 79388.

It is an arithmetic number, because the mean of its divisors is an integer number (1245699).

Almost surely, 226697140 is an apocalyptic number.

26697140 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 26697140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29896776).

26697140 is an abundant number, since it is smaller than the sum of its proper divisors (33096412).

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

26697140 is a wasteful number, since it uses less digits than its factorization.

26697140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 26697140 is about 5166.9275202968. The cubic root of 26697140 is about 298.8740758991.

The spelling of 26697140 in words is "twenty-six million, six hundred ninety-seven thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 233 337 340 466 674 932 1165 1348 1685 2330 3370 3961 4660 5729 6740 7922 11458 15844 19805 22916 28645 39610 57290 78521 79220 114580 157042 314084 392605 785210 1334857 1570420 2669714 5339428 6674285 13348570 26697140