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26680104 = 23341119197
BaseRepresentation
bin110010111000…
…1101100101000
31212012111020000
41211301230220
523312230404
62351503000
7442530363
oct145615450
955174200
1026680104
1114073180
128b27a60
1356b1b59
1437870da
152520339
hex1971b28

26680104 has 160 divisors (see below), whose sum is σ = 86248800. Its totient is φ = 7620480.

The previous prime is 26680099. The next prime is 26680111. The reversal of 26680104 is 40108662.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 135334 + ... + 135530.

It is an arithmetic number, because the mean of its divisors is an integer number (539055).

Almost surely, 226680104 is an apocalyptic number.

26680104 is a gapful number since it is divisible by the number (24) 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 26680104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43124400).

26680104 is an abundant number, since it is smaller than the sum of its proper divisors (59568696).

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

26680104 is a wasteful number, since it uses less digits than its factorization.

26680104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 26680104 is about 5165.2786952884. The cubic root of 26680104 is about 298.8104897851.

Adding to 26680104 its reverse (40108662), we get a palindrome (66788766).

The spelling of 26680104 in words is "twenty-six million, six hundred eighty thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 18 19 22 24 27 33 36 38 44 54 57 66 72 76 81 88 99 108 114 132 152 162 171 197 198 209 216 228 264 297 324 342 394 396 418 456 513 591 594 627 648 684 788 792 836 891 1026 1182 1188 1254 1368 1539 1576 1672 1773 1782 1881 2052 2167 2364 2376 2508 3078 3546 3564 3743 3762 4104 4334 4728 5016 5319 5643 6156 6501 7092 7128 7486 7524 8668 10638 11229 11286 12312 13002 14184 14972 15048 15957 16929 17336 19503 21276 22458 22572 26004 29944 31914 33687 33858 39006 41173 42552 44916 45144 52008 58509 63828 67374 67716 78012 82346 89832 101061 117018 123519 127656 134748 135432 156024 164692 175527 202122 234036 247038 269496 303183 329384 351054 370557 404244 468072 494076 606366 702108 741114 808488 988152 1111671 1212732 1404216 1482228 2223342 2425464 2964456 3335013 4446684 6670026 8893368 13340052 26680104