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160468704 = 253211373
BaseRepresentation
bin10011001000010…
…00111011100000
3102011221122200100
421210020323200
5312034444304
623531222400
73655650534
oct1144107340
9364848610
10160468704
1182642570
12458a7a00
1327325bc6
1417451bc4
15e14b439
hex9908ee0

160468704 has 144 divisors (see below), whose sum is σ = 511645680. Its totient is φ = 47312640.

The previous prime is 160468697. The next prime is 160468717. The reversal of 160468704 is 407864061.

160468704 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 4336974 + ... + 4337010.

It is an arithmetic number, because the mean of its divisors is an integer number (3553095).

Almost surely, 2160468704 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 160468704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255822840).

160468704 is an abundant number, since it is smaller than the sum of its proper divisors (351176976).

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

160468704 is an equidigital number, since it uses as much as digits as its factorization.

160468704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 160468704 is about 12667.6242445061. The cubic root of 160468704 is about 543.4131141917.

It can be divided in two parts, 160 and 468704, that added together give a palindrome (468864).

The spelling of 160468704 in words is "one hundred sixty million, four hundred sixty-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 37 44 48 66 72 74 88 96 99 111 132 144 148 176 198 222 264 288 296 333 352 396 407 444 528 592 666 792 814 888 1056 1184 1221 1332 1369 1584 1628 1776 2442 2664 2738 3168 3256 3552 3663 4107 4884 5328 5476 6512 7326 8214 9768 10656 10952 12321 13024 14652 15059 16428 19536 21904 24642 29304 30118 32856 39072 43808 45177 49284 50653 58608 60236 65712 90354 98568 101306 117216 120472 131424 135531 151959 180708 197136 202612 240944 271062 303918 361416 394272 405224 455877 481888 542124 557183 607836 722832 810448 911754 1084248 1114366 1215672 1445664 1620896 1671549 1823508 2168496 2228732 2431344 3343098 3647016 4336992 4457464 4862688 5014647 6686196 7294032 8914928 10029294 13372392 14588064 17829856 20058588 26744784 40117176 53489568 80234352 160468704