Search a number
-
+
26700672 = 273312243
BaseRepresentation
bin110010111011…
…0101110000000
31212020112102210
41211312232000
523313410142
62352142120
7442644345
oct145665600
955215383
1026700672
1114087679
128b37940
1356bb31b
1437907cc
15252649c
hex1976b80

26700672 has 64 divisors (see below), whose sum is σ = 73244160. Its totient is φ = 8609280.

The previous prime is 26700637. The next prime is 26700679. The reversal of 26700672 is 27600762.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26700679) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10783 + ... + 13025.

It is an arithmetic number, because the mean of its divisors is an integer number (1144440).

Almost surely, 226700672 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 26700672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36622080).

26700672 is an abundant number, since it is smaller than the sum of its proper divisors (46543488).

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

26700672 is a wasteful number, since it uses less digits than its factorization.

26700672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2291 (or 2279 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 26700672 is about 5167.2692981884. The cubic root of 26700672 is about 298.8872555467.

It can be divided in two parts, 26700 and 672, that added together give a palindrome (27372).

The spelling of 26700672 in words is "twenty-six million, seven hundred thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 372 384 496 744 992 1488 1984 2243 2976 3968 4486 5952 6729 8972 11904 13458 17944 26916 35888 53832 69533 71776 107664 139066 143552 208599 215328 278132 287104 417198 430656 556264 834396 861312 1112528 1668792 2225056 3337584 4450112 6675168 8900224 13350336 26700672