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235401320 = 235711233323
BaseRepresentation
bin11100000011111…
…11000001101000
3121101221121220102
432001333001220
5440230320240
635205244532
75555610140
oct1601770150
9541847812
10235401320
11110972550
1266a03748
1339a0092b
1423399920
15159ed815
hexe07f068

235401320 has 128 divisors (see below), whose sum is σ = 689264640. Its totient is φ = 70160640.

The previous prime is 235401301. The next prime is 235401337. The reversal of 235401320 is 23104532.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 235401292 and 235401301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69179 + ... + 72501.

It is an arithmetic number, because the mean of its divisors is an integer number (5384880).

Almost surely, 2235401320 is an apocalyptic number.

235401320 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 235401320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344632320).

235401320 is an abundant number, since it is smaller than the sum of its proper divisors (453863320).

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

235401320 is a wasteful number, since it uses less digits than its factorization.

235401320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3375 (or 3371 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 235401320 is about 15342.7937482064. The cubic root of 235401320 is about 617.4516629103.

Adding to 235401320 its reverse (23104532), we get a palindrome (258505852).

The spelling of 235401320 in words is "two hundred thirty-five million, four hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 23 28 35 40 44 46 55 56 70 77 88 92 110 115 140 154 161 184 220 230 253 280 308 322 385 440 460 506 616 644 770 805 920 1012 1265 1288 1540 1610 1771 2024 2530 3080 3220 3323 3542 5060 6440 6646 7084 8855 10120 13292 14168 16615 17710 23261 26584 33230 35420 36553 46522 66460 70840 73106 76429 93044 116305 132920 146212 152858 182765 186088 232610 255871 292424 305716 365530 382145 465220 511742 535003 611432 731060 764290 840719 930440 1023484 1070006 1279355 1462120 1528580 1681438 2046968 2140012 2558710 2675015 3057160 3362876 4203595 4280024 5117420 5350030 5885033 6725752 8407190 10234840 10700060 11770066 16814380 21400120 23540132 29425165 33628760 47080264 58850330 117700660 235401320