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26220978 = 2327331137
BaseRepresentation
bin110010000000…
…1100110110010
31211100011102100
41210001212302
523203032403
62334001230
7435606000
oct144014662
954304370
1026220978
111388a233
128946216
135580b94
1436a7a70
15247e2a3
hex19019b2

26220978 has 96 divisors (see below), whose sum is σ = 68889600. Its totient is φ = 7197120.

The previous prime is 26220977. The next prime is 26220979. The reversal of 26220978 is 87902262.

It is an interprime number because it is at equal distance from previous prime (26220977) and next prime (26220979).

It is not an unprimeable number, because it can be changed into a prime (26220973) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 191326 + ... + 191462.

It is an arithmetic number, because the mean of its divisors is an integer number (717600).

Almost surely, 226220978 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26220978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34444800).

26220978 is an abundant number, since it is smaller than the sum of its proper divisors (42668622).

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

26220978 is a wasteful number, since it uses less digits than its factorization.

26220978 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 26220978 is about 5120.6423425191. The cubic root of 26220978 is about 297.0865305806.

The spelling of 26220978 in words is "twenty-six million, two hundred twenty thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 49 62 63 93 98 126 137 147 186 217 274 279 294 343 411 434 441 558 651 686 822 882 959 1029 1233 1302 1519 1918 1953 2058 2466 2877 3038 3087 3906 4247 4557 5754 6174 6713 8494 8631 9114 10633 12741 13426 13671 17262 20139 21266 25482 27342 29729 31899 38223 40278 46991 59458 60417 63798 76446 89187 93982 95697 120834 140973 178374 191394 208103 267561 281946 416206 422919 535122 624309 845838 1248618 1456721 1872927 2913442 3745854 4370163 8740326 13110489 26220978