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26988240 = 2435139809
BaseRepresentation
bin110011011110…
…0111011010000
31212210010220110
41212330323100
523402110430
62402241320
7445252626
oct146747320
955703813
1026988240
1114263734
129056240
13578c196
143827516
1525817b0
hex19bced0

26988240 has 80 divisors (see below), whose sum is σ = 84369600. Its totient is φ = 7136256.

The previous prime is 26988233. The next prime is 26988251. The reversal of 26988240 is 4288962.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 32956 + ... + 33764.

It is an arithmetic number, because the mean of its divisors is an integer number (1054620).

Almost surely, 226988240 is an apocalyptic number.

26988240 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 26988240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42184800).

26988240 is an abundant number, since it is smaller than the sum of its proper divisors (57381360).

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

26988240 is a wasteful number, since it uses less digits than its factorization.

26988240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 26988240 is about 5195.0206929328. The cubic root of 26988240 is about 299.9564381193.

The spelling of 26988240 in words is "twenty-six million, nine hundred eighty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 139 240 278 417 556 695 809 834 1112 1390 1618 1668 2085 2224 2427 2780 3236 3336 4045 4170 4854 5560 6472 6672 8090 8340 9708 11120 12135 12944 16180 16680 19416 24270 32360 33360 38832 48540 64720 97080 112451 194160 224902 337353 449804 562255 674706 899608 1124510 1349412 1686765 1799216 2249020 2698824 3373530 4498040 5397648 6747060 8996080 13494120 26988240