Search a number
-
+
26605068 = 22371731601
BaseRepresentation
bin110010101111…
…1011000001100
31212001200021220
41211133120030
523302330233
62350123340
7442065540
oct145373014
955050256
1026605068
1114021866
128ab0550
135686959
143767a20
152507eb3
hex195f60c

26605068 has 96 divisors (see below), whose sum is σ = 77672448. Its totient is φ = 6912000.

The previous prime is 26605057. The next prime is 26605079. The reversal of 26605068 is 86050662.

It is an interprime number because it is at equal distance from previous prime (26605057) and next prime (26605079).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43968 + ... + 44568.

It is an arithmetic number, because the mean of its divisors is an integer number (809088).

Almost surely, 226605068 is an apocalyptic number.

26605068 is a gapful number since it is divisible by the number (28) 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 26605068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38836224).

26605068 is an abundant number, since it is smaller than the sum of its proper divisors (51067380).

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

26605068 is a wasteful number, since it uses less digits than its factorization.

26605068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 26605068 is about 5158.0100814171. The cubic root of 26605068 is about 298.5300986178.

The spelling of 26605068 in words is "twenty-six million, six hundred five thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 31 34 42 51 62 68 84 93 102 119 124 186 204 217 238 357 372 434 476 527 601 651 714 868 1054 1202 1302 1428 1581 1803 2108 2404 2604 3162 3606 3689 4207 6324 7212 7378 8414 10217 11067 12621 14756 16828 18631 20434 22134 25242 30651 37262 40868 44268 50484 55893 61302 71519 74524 111786 122604 130417 143038 214557 223572 260834 286076 316727 391251 429114 521668 633454 782502 858228 950181 1266908 1565004 1900362 2217089 3800724 4434178 6651267 8868356 13302534 26605068