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26422080 = 2635171619
BaseRepresentation
bin110010011001…
…0101101000000
31211201101021120
41210302231000
523231001310
62342152240
7440404206
oct144625500
954641246
1026422080
1113a07333
128a22680
135621589
14371b076
1524bdb70
hex1932b40

26422080 has 112 divisors (see below), whose sum is σ = 88879680. Its totient is φ = 6627328.

The previous prime is 26422073. The next prime is 26422091. The reversal of 26422080 is 8022462.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 26422080.

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, 15511 + ... + 17129.

Almost surely, 226422080 is an apocalyptic number.

26422080 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 26422080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44439840).

26422080 is an abundant number, since it is smaller than the sum of its proper divisors (62457600).

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

26422080 is a wasteful number, since it uses less digits than its factorization.

26422080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1656 (or 1646 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 26422080 is about 5140.2412394751. The cubic root of 26422080 is about 297.8440996471.

The spelling of 26422080 in words is "twenty-six million, four hundred twenty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 136 160 170 192 204 240 255 272 320 340 408 480 510 544 680 816 960 1020 1088 1360 1619 1632 2040 2720 3238 3264 4080 4857 5440 6476 8095 8160 9714 12952 16190 16320 19428 24285 25904 27523 32380 38856 48570 51808 55046 64760 77712 82569 97140 103616 110092 129520 137615 155424 165138 194280 220184 259040 275230 310848 330276 388560 412845 440368 518080 550460 660552 777120 825690 880736 1100920 1321104 1554240 1651380 1761472 2201840 2642208 3302760 4403680 5284416 6605520 8807360 13211040 26422080