Search a number
-
+
26958030 = 23511151541
BaseRepresentation
bin110011011010…
…1100011001110
31212201121110120
41212311203032
523400124110
62401445410
7445065561
oct146654316
955647416
1026958030
1114242a70
129040866
13577b4c8
14381a4d8
152577870
hex19b58ce

26958030 has 64 divisors (see below), whose sum is σ = 71179776. Its totient is φ = 6480000.

The previous prime is 26957963. The next prime is 26958037. The reversal of 26958030 is 3085962.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 26957982 and 26958000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26958037) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49560 + ... + 50100.

It is an arithmetic number, because the mean of its divisors is an integer number (1112184).

Almost surely, 226958030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26958030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35589888).

26958030 is an abundant number, since it is smaller than the sum of its proper divisors (44221746).

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

26958030 is a wasteful number, since it uses less digits than its factorization.

26958030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713.

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 26958030 is about 5192.1122869214. The cubic root of 26958030 is about 299.8444749427.

The spelling of 26958030 in words is "twenty-six million, nine hundred fifty-eight thousand, thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 151 165 302 330 453 541 755 906 1082 1510 1623 1661 2265 2705 3246 3322 4530 4983 5410 5951 8115 8305 9966 11902 16230 16610 17853 24915 29755 35706 49830 59510 81691 89265 163382 178530 245073 408455 490146 816910 898601 1225365 1797202 2450730 2695803 4493005 5391606 8986010 13479015 26958030