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26740000 = 25547191
BaseRepresentation
bin110011000000…
…0010100100000
31212022112101101
41212000110200
523321140000
62353044144
7443200120
oct146002440
955275341
1026740000
1114104181
128b56654
1357031b1
1437a0c80
152532e6a
hex1980520

26740000 has 120 divisors (see below), whose sum is σ = 75575808. Its totient is φ = 9120000.

The previous prime is 26739941. The next prime is 26740003. The reversal of 26740000 is 4762.

It is a self number, because there is not a number n which added to its sum of digits gives 26740000.

It is not an unprimeable number, because it can be changed into a prime (26740003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 139905 + ... + 140095.

Almost surely, 226740000 is an apocalyptic number.

26740000 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 26740000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37787904).

26740000 is an abundant number, since it is smaller than the sum of its proper divisors (48835808).

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

26740000 is an equidigital number, since it uses as much as digits as its factorization.

26740000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 26740000 is about 5171.0733895392. The cubic root of 26740000 is about 299.0339294017.

Adding to 26740000 its reverse (4762), we get a palindrome (26744762).

The spelling of 26740000 in words is "twenty-six million, seven hundred forty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 125 140 160 175 191 200 224 250 280 350 382 400 500 560 625 700 764 800 875 955 1000 1120 1250 1337 1400 1528 1750 1910 2000 2500 2674 2800 3056 3500 3820 4000 4375 4775 5000 5348 5600 6112 6685 7000 7640 8750 9550 10000 10696 13370 14000 15280 17500 19100 20000 21392 23875 26740 28000 30560 33425 35000 38200 42784 47750 53480 66850 70000 76400 95500 106960 119375 133700 140000 152800 167125 191000 213920 238750 267400 334250 382000 477500 534800 668500 764000 835625 955000 1069600 1337000 1671250 1910000 2674000 3342500 3820000 5348000 6685000 13370000 26740000