Search a number
-
+
26173920 = 2535311759
BaseRepresentation
bin110001111011…
…0000111100000
31211020202212110
41203312013200
523200031140
62332555320
7435321543
oct143660740
954222773
1026173920
1113857943
128922b40
135565636
14369485a
152470380
hex18f61e0

26173920 has 96 divisors (see below), whose sum is σ = 85155840. Its totient is φ = 6750720.

The previous prime is 26173919. The next prime is 26173943. The reversal of 26173920 is 2937162.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 14001 + ... + 15759.

It is an arithmetic number, because the mean of its divisors is an integer number (887040).

Almost surely, 226173920 is an apocalyptic number.

26173920 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 26173920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42577920).

26173920 is an abundant number, since it is smaller than the sum of its proper divisors (58981920).

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

26173920 is a wasteful number, since it uses less digits than its factorization.

26173920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1808 (or 1800 counting only the distinct ones).

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

The square root of 26173920 is about 5116.0453477271. The cubic root of 26173920 is about 296.9087000709.

The spelling of 26173920 in words is "twenty-six million, one hundred seventy-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 80 93 96 120 124 155 160 186 240 248 310 372 465 480 496 620 744 930 992 1240 1488 1759 1860 2480 2976 3518 3720 4960 5277 7036 7440 8795 10554 14072 14880 17590 21108 26385 28144 35180 42216 52770 54529 56288 70360 84432 105540 109058 140720 163587 168864 211080 218116 272645 281440 327174 422160 436232 545290 654348 817935 844320 872464 1090580 1308696 1635870 1744928 2181160 2617392 3271740 4362320 5234784 6543480 8724640 13086960 26173920