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235440040 = 235113141421
BaseRepresentation
bin11100000100010…
…00011110101000
3121102000121000111
432002020132220
5440233040130
635210144104
75556131053
oct1602103650
9542017014
10235440040
11110999650
1266a22034
1339a15444
14233a9a9a
1515a0a02a
hexe0887a8

235440040 has 128 divisors (see below), whose sum is σ = 612541440. Its totient is φ = 80640000.

The previous prime is 235440017. The next prime is 235440043. The reversal of 235440040 is 40044532.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 235439993 and 235440020.

It is not an unprimeable number, because it can be changed into a prime (235440043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 559030 + ... + 559450.

It is an arithmetic number, because the mean of its divisors is an integer number (4785480).

Almost surely, 2235440040 is an apocalyptic number.

235440040 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 235440040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306270720).

235440040 is an abundant number, since it is smaller than the sum of its proper divisors (377101400).

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

235440040 is a wasteful number, since it uses less digits than its factorization.

235440040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 235440040 is about 15344.0555264897. The cubic root of 235440040 is about 617.4855149121.

Adding to 235440040 its reverse (40044532), we get a palindrome (275484572).

The spelling of 235440040 in words is "two hundred thirty-five million, four hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 41 44 55 62 82 88 110 124 155 164 205 220 248 310 328 341 410 421 440 451 620 682 820 842 902 1240 1271 1364 1640 1684 1705 1804 2105 2255 2542 2728 3368 3410 3608 4210 4510 4631 5084 6355 6820 8420 9020 9262 10168 12710 13051 13640 13981 16840 17261 18040 18524 23155 25420 26102 27962 34522 37048 46310 50840 52204 55924 65255 69044 69905 86305 92620 104408 111848 130510 138088 139810 143561 172610 185240 189871 261020 279620 287122 345220 379742 522040 535091 559240 574244 690440 717805 759484 949355 1070182 1148488 1435610 1518968 1898710 2140364 2675455 2871220 3797420 4280728 5350910 5742440 5886001 7594840 10701820 11772002 21403640 23544004 29430005 47088008 58860010 117720020 235440040