Search a number
-
+
26271540 = 2234516217
BaseRepresentation
bin110010000110…
…1111100110100
31211102201210000
41210031330310
523211142130
62335031300
7436206261
oct144157464
954381700
1026271540
1113914219
12896b530
13559abb9
1436bc268
15248e260
hex190df34

26271540 has 60 divisors (see below), whose sum is σ = 82419876. Its totient is φ = 7005312.

The previous prime is 26271527. The next prime is 26271551. The reversal of 26271540 is 4517262.

It can be written as a sum of positive squares in 2 ways, for example, as 15539364 + 10732176 = 3942^2 + 3276^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6489 + ... + 9728.

Almost surely, 226271540 is an apocalyptic number.

26271540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26271540 is an abundant number, since it is smaller than the sum of its proper divisors (56148336).

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

26271540 is a wasteful number, since it uses less digits than its factorization.

26271540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16238 (or 16227 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 26271540 is about 5125.5770406853. The cubic root of 26271540 is about 297.2773656223.

The spelling of 26271540 in words is "twenty-six million, two hundred seventy-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 16217 32434 48651 64868 81085 97302 145953 162170 194604 243255 291906 324340 437859 486510 583812 729765 875718 973020 1313577 1459530 1751436 2189295 2627154 2919060 4378590 5254308 6567885 8757180 13135770 26271540