Search a number
-
+
26379120 = 2435109913
BaseRepresentation
bin110010010100…
…0001101110000
31211122012100110
41210220031300
523223112440
62341221320
7440135025
oct144501560
954565313
1026379120
1113988029
128a01840
135607b61
14370954c
1524b1080
hex1928370

26379120 has 40 divisors (see below), whose sum is σ = 81776016. Its totient is φ = 7034368.

The previous prime is 26379103. The next prime is 26379131. The reversal of 26379120 is 2197362.

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54717 + ... + 55196.

Almost surely, 226379120 is an apocalyptic number.

26379120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26379120 is an abundant number, since it is smaller than the sum of its proper divisors (55396896).

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

26379120 is a wasteful number, since it uses less digits than its factorization.

26379120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109929 (or 109923 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 26379120 is about 5136.0607473043. The cubic root of 26379120 is about 297.6825892296.

The spelling of 26379120 in words is "twenty-six million, three hundred seventy-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 109913 219826 329739 439652 549565 659478 879304 1099130 1318956 1648695 1758608 2198260 2637912 3297390 4396520 5275824 6594780 8793040 13189560 26379120