Search a number
-
+
1681173732 = 2237219295189
BaseRepresentation
bin110010000110100…
…1010110011100100
311100011102110210210
41210031022303210
511420340024412
6434453215420
756442512100
oct14415126344
94304373723
101681173732
11792a84787
123ab031570
1320a3b7474
1411d3c4900
159c8d583c
hex6434ace4

1681173732 has 144 divisors (see below), whose sum is σ = 4969944000. Its totient is φ = 439278336.

The previous prime is 1681173731. The next prime is 1681173733. The reversal of 1681173732 is 2373711861.

It is an interprime number because it is at equal distance from previous prime (1681173731) and next prime (1681173733).

It is not an unprimeable number, because it can be changed into a prime (1681173731) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 321394 + ... + 326582.

It is an arithmetic number, because the mean of its divisors is an integer number (34513500).

Almost surely, 21681173732 is an apocalyptic number.

1681173732 is a gapful number since it is divisible by the number (12) 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 1681173732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2484972000).

1681173732 is an abundant number, since it is smaller than the sum of its proper divisors (3288770268).

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

1681173732 is a wasteful number, since it uses less digits than its factorization.

1681173732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5258 (or 5249 counting only the distinct ones).

The product of its digits is 42336, while the sum is 39.

The square root of 1681173732 is about 41002.1186281880. The cubic root of 1681173732 is about 1189.0611741758.

The spelling of 1681173732 in words is "one billion, six hundred eighty-one million, one hundred seventy-three thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 29 38 42 49 57 58 76 84 87 98 114 116 133 147 174 196 203 228 266 294 348 399 406 532 551 588 609 798 812 931 1102 1218 1421 1596 1653 1862 2204 2436 2793 2842 3306 3724 3857 4263 5189 5586 5684 6612 7714 8526 10378 11172 11571 15428 15567 17052 20756 23142 26999 31134 36323 46284 53998 62268 72646 80997 98591 107996 108969 145292 150481 161994 197182 217938 254261 295773 300962 323988 394364 435876 451443 508522 591546 601924 690137 762783 902886 1017044 1053367 1183092 1380274 1525566 1805772 2070411 2106734 2760548 2859139 3051132 3160101 4140822 4213468 4830959 5718278 6320202 7373569 8281644 8577417 9661918 11436556 12640404 14492877 14747138 17154834 19323836 20013973 22120707 28985754 29494276 34309668 40027946 44241414 57971508 60041919 80055892 88482828 120083838 140097811 240167676 280195622 420293433 560391244 840586866 1681173732