Search a number
-
+
26614740 = 22353141349
BaseRepresentation
bin110010110000…
…1101111010100
31212002011120010
41211201233110
523303132430
62350240220
7442135665
oct145415724
955064503
1026614740
1114029059
128ab6070
13568b189
14376b36c
15250acb0
hex1961bd4

26614740 has 96 divisors (see below), whose sum is σ = 79027200. Its totient is φ = 6681600.

The previous prime is 26614733. The next prime is 26614769. The reversal of 26614740 is 4741662.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 26614698 and 26614707.

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, 76086 + ... + 76434.

It is an arithmetic number, because the mean of its divisors is an integer number (823200).

Almost surely, 226614740 is an apocalyptic number.

26614740 is a gapful number since it is divisible by the number (20) 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 26614740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39513600).

26614740 is an abundant number, since it is smaller than the sum of its proper divisors (52412460).

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

26614740 is a wasteful number, since it uses less digits than its factorization.

26614740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 26614740 is about 5158.9475670916. The cubic root of 26614740 is about 298.5662700883.

The spelling of 26614740 in words is "twenty-six million, six hundred fourteen thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 41 60 62 82 93 123 124 155 164 186 205 246 310 349 372 410 465 492 615 620 698 820 930 1047 1230 1271 1396 1745 1860 2094 2460 2542 3490 3813 4188 5084 5235 6355 6980 7626 10470 10819 12710 14309 15252 19065 20940 21638 25420 28618 32457 38130 42927 43276 54095 57236 64914 71545 76260 85854 108190 129828 143090 162285 171708 214635 216380 286180 324570 429270 443579 649140 858540 887158 1330737 1774316 2217895 2661474 4435790 5322948 6653685 8871580 13307370 26614740