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26971980 = 22357149431
BaseRepresentation
bin110011011100…
…0111101001100
31212202022121020
41212320331030
523401100410
62402034140
7445154340
oct146707514
955668536
1026971980
11142524a2
129048950
135784969
143821620
15257ba70
hex19b8f4c

26971980 has 96 divisors (see below), whose sum is σ = 87091200. Its totient is φ = 6109440.

The previous prime is 26971951. The next prime is 26971981. The reversal of 26971980 is 8917962.

It is a super-4 number, since 4×269719804 (a number of 31 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (26971981) 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, 62365 + ... + 62795.

It is an arithmetic number, because the mean of its divisors is an integer number (907200).

Almost surely, 226971980 is an apocalyptic number.

26971980 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 26971980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43545600).

26971980 is an abundant number, since it is smaller than the sum of its proper divisors (60119220).

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

26971980 is a wasteful number, since it uses less digits than its factorization.

26971980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 26971980 is about 5193.4554970655. The cubic root of 26971980 is about 299.8961863021.

The spelling of 26971980 in words is "twenty-six million, nine hundred seventy-one thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 149 210 298 420 431 447 596 745 862 894 1043 1293 1490 1724 1788 2086 2155 2235 2586 2980 3017 3129 4172 4310 4470 5172 5215 6034 6258 6465 8620 8940 9051 10430 12068 12516 12930 15085 15645 18102 20860 25860 30170 31290 36204 45255 60340 62580 64219 90510 128438 181020 192657 256876 321095 385314 449533 642190 770628 899066 963285 1284380 1348599 1798132 1926570 2247665 2697198 3853140 4495330 5394396 6742995 8990660 13485990 26971980