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26468040 = 2335367601
BaseRepresentation
bin110010011110…
…1111011001000
31211210201022210
41210331323020
523233434130
62343145120
7440655204
oct144757310
954721283
1026468040
1113a38915
128a451a0
135639481
14372db04
1524cc5b0
hex193dec8

26468040 has 64 divisors (see below), whose sum is σ = 79752960. Its totient is φ = 7027200.

The previous prime is 26468033. The next prime is 26468047. The reversal of 26468040 is 4086462.

It is an interprime number because it is at equal distance from previous prime (26468033) and next prime (26468047).

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

It is a junction number, because it is equal to n+sod(n) for n = 26467989 and 26468007.

It is not an unprimeable number, because it can be changed into a prime (26468047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43740 + ... + 44340.

It is an arithmetic number, because the mean of its divisors is an integer number (1246140).

Almost surely, 226468040 is an apocalyptic number.

26468040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26468040 is an abundant number, since it is smaller than the sum of its proper divisors (53284920).

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

26468040 is a wasteful number, since it uses less digits than its factorization.

26468040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 26468040 is about 5144.7099043581. The cubic root of 26468040 is about 298.0166950093.

The spelling of 26468040 in words is "twenty-six million, four hundred sixty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 367 601 734 1101 1202 1468 1803 1835 2202 2404 2936 3005 3606 3670 4404 4808 5505 6010 7212 7340 8808 9015 11010 12020 14424 14680 18030 22020 24040 36060 44040 72120 220567 441134 661701 882268 1102835 1323402 1764536 2205670 2646804 3308505 4411340 5293608 6617010 8822680 13234020 26468040