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68688432 = 24331747199
BaseRepresentation
bin1000001100000…
…01101000110000
311210020201211000
410012001220300
5120041012212
610452122000
71462561551
oct406015060
9153221730
1068688432
11358556aa
121b006300
13112cc857
1491a0328
15606c1dc
hex4181a30

68688432 has 160 divisors (see below), whose sum is σ = 214272000. Its totient is φ = 20984832.

The previous prime is 68688377. The next prime is 68688437. The reversal of 68688432 is 23488686.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (68688437) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 345069 + ... + 345267.

It is an arithmetic number, because the mean of its divisors is an integer number (1339200).

Almost surely, 268688432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68688432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107136000).

68688432 is an abundant number, since it is smaller than the sum of its proper divisors (145583568).

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

68688432 is a wasteful number, since it uses less digits than its factorization.

68688432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 268 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 68688432 is about 8287.8484542130. The cubic root of 68688432 is about 409.5383103607.

The spelling of 68688432 in words is "sixty-eight million, six hundred eighty-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 47 48 51 54 68 72 94 102 108 136 141 144 153 188 199 204 216 272 282 306 376 398 408 423 432 459 564 597 612 752 796 799 816 846 918 1128 1194 1224 1269 1592 1598 1692 1791 1836 2256 2388 2397 2448 2538 3184 3196 3383 3384 3582 3672 4776 4794 5076 5373 6392 6766 6768 7164 7191 7344 9353 9552 9588 10149 10152 10746 12784 13532 14328 14382 18706 19176 20298 20304 21492 21573 27064 28059 28656 28764 30447 37412 38352 40596 42984 43146 54128 56118 57528 60894 74824 81192 84177 85968 86292 91341 112236 115056 121788 149648 159001 162384 168354 172584 182682 224472 243576 252531 318002 336708 345168 365364 448944 477003 487152 505062 636004 673416 730728 954006 1010124 1272008 1346832 1431009 1461456 1908012 2020248 2544016 2862018 3816024 4040496 4293027 5724036 7632048 8586054 11448072 17172108 22896144 34344216 68688432