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26870040 = 23325101739
BaseRepresentation
bin110011010000…
…0000100011000
31212120010202200
41212200010120
523334320130
62355530200
7444251211
oct146400430
955503680
1026870040
111419294a
128bb9960
13574a442
1437d6408
15255b760
hex19a0118

26870040 has 96 divisors (see below), whose sum is σ = 88311600. Its totient is φ = 7084800.

The previous prime is 26870027. The next prime is 26870083. The reversal of 26870040 is 4007862.

It is a junction number, because it is equal to n+sod(n) for n = 26869986 and 26870013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35991 + ... + 36729.

Almost surely, 226870040 is an apocalyptic number.

26870040 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 26870040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44155800).

26870040 is an abundant number, since it is smaller than the sum of its proper divisors (61441560).

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

26870040 is a wasteful number, since it uses less digits than its factorization.

26870040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 26870040 is about 5183.6319313778. The cubic root of 26870040 is about 299.5178923223.

The spelling of 26870040 in words is "twenty-six million, eight hundred seventy thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 101 120 180 202 303 360 404 505 606 739 808 909 1010 1212 1478 1515 1818 2020 2217 2424 2956 3030 3636 3695 4040 4434 4545 5912 6060 6651 7272 7390 8868 9090 11085 12120 13302 14780 17736 18180 22170 26604 29560 33255 36360 44340 53208 66510 74639 88680 133020 149278 223917 266040 298556 373195 447834 597112 671751 746390 895668 1119585 1343502 1492780 1791336 2239170 2687004 2985560 3358755 4478340 5374008 6717510 8956680 13435020 26870040