Search a number
-
+
1660169688 = 233192892153
BaseRepresentation
bin110001011110100…
…0010110111011000
311021200220100200020
41202331002313120
511400000412223
6432423110440
756066131602
oct14275026730
94250810606
101660169688
11782139071
123a3ba2420
13205c42038
1411a6b8172
159ab371e3
hex62f42dd8

1660169688 has 96 divisors (see below), whose sum is σ = 4431639600. Its totient is φ = 518132736.

The previous prime is 1660169683. The next prime is 1660169701. The reversal of 1660169688 is 8869610661.

1660169688 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 1660169688.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1660169683) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 770020 + ... + 772172.

Almost surely, 21660169688 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 1660169688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2215819800).

1660169688 is an abundant number, since it is smaller than the sum of its proper divisors (2771469912).

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

1660169688 is a wasteful number, since it uses less digits than its factorization.

1660169688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2289 (or 2266 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 51.

The square root of 1660169688 is about 40745.1799357912. The cubic root of 1660169688 is about 1184.0884913012.

The spelling of 1660169688 in words is "one billion, six hundred sixty million, one hundred sixty-nine thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 89 114 152 178 228 267 356 361 456 534 712 722 1068 1083 1444 1691 2136 2153 2166 2888 3382 4306 4332 5073 6459 6764 8612 8664 10146 12918 13528 17224 20292 25836 32129 40584 40907 51672 64258 81814 96387 122721 128516 163628 191617 192774 245442 257032 327256 383234 385548 490884 574851 766468 771096 777233 981768 1149702 1532936 1554466 2299404 2331699 3108932 3640723 4598808 4663398 6217864 7281446 9326796 10922169 14562892 18653592 21844338 29125784 43688676 69173737 87377352 138347474 207521211 276694948 415042422 553389896 830084844 1660169688