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26241920 = 275131313
BaseRepresentation
bin110010000011…
…0101110000000
31211101020010222
41210012232000
523204220140
62334242212
7436024025
oct144065600
954336128
1026241920
11138a3a41
128956368
13558a583
1436b154c
1524855b5
hex1906b80

26241920 has 64 divisors (see below), whose sum is σ = 63415440. Its totient is φ = 10383360.

The previous prime is 26241913. The next prime is 26241947. The reversal of 26241920 is 2914262.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 26241920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83684 + ... + 83996.

Almost surely, 226241920 is an apocalyptic number.

26241920 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 26241920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31707720).

26241920 is an abundant number, since it is smaller than the sum of its proper divisors (37173520).

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

26241920 is a wasteful number, since it uses less digits than its factorization.

26241920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 26241920 is about 5122.6867950325. The cubic root of 26241920 is about 297.1656012458.

The spelling of 26241920 in words is "twenty-six million, two hundred forty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 131 160 262 313 320 524 626 640 655 1048 1252 1310 1565 2096 2504 2620 3130 4192 5008 5240 6260 8384 10016 10480 12520 16768 20032 20960 25040 40064 41003 41920 50080 82006 83840 100160 164012 200320 205015 328024 410030 656048 820060 1312096 1640120 2624192 3280240 5248384 6560480 13120960 26241920