Search a number
-
+
26974240 = 2551747211
BaseRepresentation
bin110011011100…
…1100000100000
31212202102200221
41212321200200
523401133430
62402052424
7445164046
oct146714040
955672627
1026974240
1114254167
12904a114
1357859b7
143822396
15257c57a
hex19b9820

26974240 has 96 divisors (see below), whose sum is σ = 69237504. Its totient is φ = 9891840.

The previous prime is 26974237. The next prime is 26974271. The reversal of 26974240 is 4247962.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 26974196 and 26974205.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127735 + ... + 127945.

It is an arithmetic number, because the mean of its divisors is an integer number (721224).

Almost surely, 226974240 is an apocalyptic number.

26974240 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 26974240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34618752).

26974240 is an abundant number, since it is smaller than the sum of its proper divisors (42263264).

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

26974240 is a wasteful number, since it uses less digits than its factorization.

26974240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 26974240 is about 5193.6730740392. The cubic root of 26974240 is about 299.9045622346.

The spelling of 26974240 in words is "twenty-six million, nine hundred seventy-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 47 68 80 85 94 136 160 170 188 211 235 272 340 376 422 470 544 680 752 799 844 940 1055 1360 1504 1598 1688 1880 2110 2720 3196 3376 3587 3760 3995 4220 6392 6752 7174 7520 7990 8440 9917 12784 14348 15980 16880 17935 19834 25568 28696 31960 33760 35870 39668 49585 57392 63920 71740 79336 99170 114784 127840 143480 158672 168589 198340 286960 317344 337178 396680 573920 674356 793360 842945 1348712 1586720 1685890 2697424 3371780 5394848 6743560 13487120 26974240