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26530080 = 2535192909
BaseRepresentation
bin110010100110…
…1000100100000
31211220212102120
41211031010200
523242430310
62344344240
7441334113
oct145150440
954825376
1026530080
1113a80495
128a75080
13565b795
14374857a
1524e0b70
hex194d120

26530080 has 96 divisors (see below), whose sum is σ = 87998400. Its totient is φ = 6700032.

The previous prime is 26530067. The next prime is 26530093. The reversal of 26530080 is 8003562.

It is an interprime number because it is at equal distance from previous prime (26530067) and next prime (26530093).

It is a tau number, because it is divible by the number of its divisors (96).

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 26530080.

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, 7666 + ... + 10574.

It is an arithmetic number, because the mean of its divisors is an integer number (916650).

Almost surely, 226530080 is an apocalyptic number.

26530080 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 26530080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43999200).

26530080 is an abundant number, since it is smaller than the sum of its proper divisors (61468320).

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

26530080 is a wasteful number, since it uses less digits than its factorization.

26530080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2946 (or 2938 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 26530080 is about 5150.7358697569. The cubic root of 26530080 is about 298.2493596211.

The spelling of 26530080 in words is "twenty-six million, five hundred thirty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 76 80 95 96 114 120 152 160 190 228 240 285 304 380 456 480 570 608 760 912 1140 1520 1824 2280 2909 3040 4560 5818 8727 9120 11636 14545 17454 23272 29090 34908 43635 46544 55271 58180 69816 87270 93088 110542 116360 139632 165813 174540 221084 232720 276355 279264 331626 349080 442168 465440 552710 663252 698160 829065 884336 1105420 1326504 1396320 1658130 1768672 2210840 2653008 3316260 4421680 5306016 6632520 8843360 13265040 26530080