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235064720 = 245112961151
BaseRepresentation
bin11100000001011…
…00110110010000
3121101022112011202
432000230312100
5440134032340
635154130332
75553005612
oct1600546620
9541275152
10235064720
11110762670
12668809a8
1339913667
142330cdb2
1515983c15
hexe02cd90

235064720 has 160 divisors (see below), whose sum is σ = 631031040. Its totient is φ = 80640000.

The previous prime is 235064717. The next prime is 235064857. The reversal of 235064720 is 27460532.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

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, 1556645 + ... + 1556795.

It is an arithmetic number, because the mean of its divisors is an integer number (3943944).

Almost surely, 2235064720 is an apocalyptic number.

235064720 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 235064720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315515520).

235064720 is an abundant number, since it is smaller than the sum of its proper divisors (395966320).

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

235064720 is a wasteful number, since it uses less digits than its factorization.

235064720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 29.

The square root of 235064720 is about 15331.8205050803. The cubic root of 235064720 is about 617.1572247863.

The spelling of 235064720 in words is "two hundred thirty-five million, sixty-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 40 44 55 58 61 80 88 110 116 122 145 151 176 220 232 244 290 302 305 319 440 464 488 580 604 610 638 671 755 880 976 1160 1208 1220 1276 1342 1510 1595 1661 1769 2320 2416 2440 2552 2684 3020 3190 3322 3355 3538 4379 4880 5104 5368 6040 6380 6644 6710 7076 8305 8758 8845 9211 10736 12080 12760 13288 13420 14152 16610 17516 17690 18422 19459 21895 25520 26576 26840 28304 33220 35032 35380 36844 38918 43790 46055 48169 53680 66440 70064 70760 73688 77836 87580 92110 96338 97295 101321 132880 141520 147376 155672 175160 184220 192676 194590 202642 240845 267119 311344 350320 368440 385352 389180 405284 481690 506605 534238 736880 770704 778360 810568 963380 1013210 1068476 1335595 1556720 1621136 1926760 2026420 2136952 2671190 2938309 3853520 4052840 4273904 5342380 5876618 8105680 10684760 11753236 14691545 21369520 23506472 29383090 47012944 58766180 117532360 235064720