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26900040 = 2335972311
BaseRepresentation
bin110011010011…
…1011001001000
31212121122220210
41212213121020
523341300130
62400321120
7444434526
oct146473110
955548823
1026900040
1114203442
1290131a0
13575acab
143803316
1525655b0
hex19a7648

26900040 has 64 divisors (see below), whose sum is σ = 81567360. Its totient is φ = 7096320.

The previous prime is 26900017. The next prime is 26900063. The reversal of 26900040 is 4000962.

It is an interprime number because it is at equal distance from previous prime (26900017) and next prime (26900063).

It is a super-2 number, since 2×269000402 = 1447224304003200, which contains 22 as substring.

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, 10485 + ... + 12795.

It is an arithmetic number, because the mean of its divisors is an integer number (1274490).

Almost surely, 226900040 is an apocalyptic number.

26900040 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 26900040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40783680).

26900040 is an abundant number, since it is smaller than the sum of its proper divisors (54667320).

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

26900040 is a wasteful number, since it uses less digits than its factorization.

26900040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2422 (or 2418 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 26900040 is about 5186.5248481040. The cubic root of 26900040 is about 299.6293199541.

The spelling of 26900040 in words is "twenty-six million, nine hundred thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 97 120 194 291 388 485 582 776 970 1164 1455 1940 2311 2328 2910 3880 4622 5820 6933 9244 11555 11640 13866 18488 23110 27732 34665 46220 55464 69330 92440 138660 224167 277320 448334 672501 896668 1120835 1345002 1793336 2241670 2690004 3362505 4483340 5380008 6725010 8966680 13450020 26900040