Search a number
-
+
235993920 = 2635293839
BaseRepresentation
bin11100001000011…
…11101101000000
3121110001201210120
432010033231000
5440403301140
635230100240
75563625631
oct1604175500
9543051716
10235993920
111112377a8
126704a680
1339b7a596
14234b1888
1515ab91d0
hexe10fb40

235993920 has 112 divisors (see below), whose sum is σ = 752734080. Its totient is φ = 62642176.

The previous prime is 235993907. The next prime is 235993921. The reversal of 235993920 is 29399532.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235993921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 280861 + ... + 281699.

It is an arithmetic number, because the mean of its divisors is an integer number (6720840).

Almost surely, 2235993920 is an apocalyptic number.

235993920 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 235993920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376367040).

235993920 is an abundant number, since it is smaller than the sum of its proper divisors (516740160).

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

235993920 is a wasteful number, since it uses less digits than its factorization.

235993920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 42.

The square root of 235993920 is about 15362.0936073180. The cubic root of 235993920 is about 617.9693536400.

The spelling of 235993920 in words is "two hundred thirty-five million, nine hundred ninety-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 293 320 480 586 839 879 960 1172 1465 1678 1758 2344 2517 2930 3356 3516 4195 4395 4688 5034 5860 6712 7032 8390 8790 9376 10068 11720 12585 13424 14064 16780 17580 18752 20136 23440 25170 26848 28128 33560 35160 40272 46880 50340 53696 56256 67120 70320 80544 93760 100680 134240 140640 161088 201360 245827 268480 281280 402720 491654 737481 805440 983308 1229135 1474962 1966616 2458270 2949924 3687405 3933232 4916540 5899848 7374810 7866464 9833080 11799696 14749620 15732928 19666160 23599392 29499240 39332320 47198784 58998480 78664640 117996960 235993920