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26742540 = 22351140519
BaseRepresentation
bin110011000000…
…0111100001100
31212022122212110
41212000330030
523321230130
62353104020
7443210406
oct146007414
955278773
1026742540
1114106080
128b58010
1357043b6
1437a1b76
152533ab0
hex1980f0c

26742540 has 48 divisors (see below), whose sum is σ = 81688320. Its totient is φ = 6482880.

The previous prime is 26742533. The next prime is 26742571. The reversal of 26742540 is 4524762.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 26742498 and 26742507.

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, 19600 + ... + 20919.

It is an arithmetic number, because the mean of its divisors is an integer number (1701840).

Almost surely, 226742540 is an apocalyptic number.

26742540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26742540 is an abundant number, since it is smaller than the sum of its proper divisors (54945780).

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

26742540 is a wasteful number, since it uses less digits than its factorization.

26742540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40542 (or 40540 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 26742540 is about 5171.3189806857. The cubic root of 26742540 is about 299.0433973914.

The spelling of 26742540 in words is "twenty-six million, seven hundred forty-two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 40519 81038 121557 162076 202595 243114 405190 445709 486228 607785 810380 891418 1215570 1337127 1782836 2228545 2431140 2674254 4457090 5348508 6685635 8914180 13371270 26742540