Search a number
-
+
235051040 = 255734283
BaseRepresentation
bin11100000001010…
…01100000100000
3121101021211102002
432000221200200
5440133113130
635153543132
75552621000
oct1600514040
9541254362
10235051040
11110753364
1266874aa8
133990a373
1423308000
151597eb45
hexe029820

235051040 has 96 divisors (see below), whose sum is σ = 647740800. Its totient is φ = 80570112.

The previous prime is 235050989. The next prime is 235051043. The reversal of 235051040 is 40150532.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235051043) 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, 52739 + ... + 57021.

It is an arithmetic number, because the mean of its divisors is an integer number (6747300).

Almost surely, 2235051040 is an apocalyptic number.

235051040 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 235051040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323870400).

235051040 is an abundant number, since it is smaller than the sum of its proper divisors (412689760).

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

235051040 is an equidigital number, since it uses as much as digits as its factorization.

235051040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4319 (or 4297 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 235051040 is about 15331.3743676162. The cubic root of 235051040 is about 617.1452523749.

The spelling of 235051040 in words is "two hundred thirty-five million, fifty-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 343 392 490 560 686 784 980 1120 1372 1568 1715 1960 2744 3430 3920 4283 5488 6860 7840 8566 10976 13720 17132 21415 27440 29981 34264 42830 54880 59962 68528 85660 119924 137056 149905 171320 209867 239848 299810 342640 419734 479696 599620 685280 839468 959392 1049335 1199240 1469069 1678936 2098670 2398480 2938138 3357872 4197340 4796960 5876276 6715744 7345345 8394680 11752552 14690690 16789360 23505104 29381380 33578720 47010208 58762760 117525520 235051040