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26680368 = 2431113323
BaseRepresentation
bin110010111000…
…1110000110000
31212012111120210
41211301300300
523312232433
62351504120
7442531221
oct145616060
955174523
1026680368
11140733a0
128b28040
1356b2000
143787248
152520463
hex1971c30

26680368 has 160 divisors (see below), whose sum is σ = 84994560. Its totient is φ = 7138560.

The previous prime is 26680337. The next prime is 26680369. The reversal of 26680368 is 86308662.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26680369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1160005 + ... + 1160027.

It is an arithmetic number, because the mean of its divisors is an integer number (531216).

Almost surely, 226680368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26680368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42497280).

26680368 is an abundant number, since it is smaller than the sum of its proper divisors (58314192).

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

26680368 is a wasteful number, since it uses less digits than its factorization.

26680368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 26680368 is about 5165.3042504774. The cubic root of 26680368 is about 298.8114753599.

The spelling of 26680368 in words is "twenty-six million, six hundred eighty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 23 24 26 33 39 44 46 48 52 66 69 78 88 92 104 132 138 143 156 169 176 184 208 253 264 276 286 299 312 338 368 429 506 507 528 552 572 598 624 676 759 858 897 1012 1014 1104 1144 1196 1352 1518 1716 1794 1859 2024 2028 2197 2288 2392 2704 3036 3289 3432 3588 3718 3887 4048 4056 4394 4784 5577 6072 6578 6591 6864 7176 7436 7774 8112 8788 9867 11154 11661 12144 13156 13182 14352 14872 15548 17576 19734 22308 23322 24167 26312 26364 29744 31096 35152 39468 42757 44616 46644 48334 50531 52624 52728 62192 72501 78936 85514 89232 93288 96668 101062 105456 128271 145002 151593 157872 171028 186576 193336 202124 256542 290004 303186 342056 386672 404248 513084 555841 580008 606372 684112 808496 1026168 1111682 1160016 1212744 1667523 2052336 2223364 2425488 3335046 4446728 6670092 8893456 13340184 26680368