Search a number
-
+
159671680 = 2757291229
BaseRepresentation
bin10011000010001…
…10010110000000
3102010110011100221
421201012112000
5311333443210
623502152424
73646121050
oct1141062600
9363404327
10159671680
1182148773
1245582714
13271071ac
14172c5560
15e0401da
hex9846580

159671680 has 128 divisors (see below), whose sum is σ = 451656000. Its totient is φ = 52813824.

The previous prime is 159671647. The next prime is 159671683. The reversal of 159671680 is 86176951.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (159671683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129306 + ... + 130534.

Almost surely, 2159671680 is an apocalyptic number.

159671680 is a gapful number since it is divisible by the number (10) 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 159671680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225828000).

159671680 is an abundant number, since it is smaller than the sum of its proper divisors (291984320).

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

159671680 is a wasteful number, since it uses less digits than its factorization.

159671680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1284 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 43.

The square root of 159671680 is about 12636.1259886090. The cubic root of 159671680 is about 542.5119367078.

The spelling of 159671680 in words is "one hundred fifty-nine million, six hundred seventy-one thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 32 35 40 56 58 64 70 80 112 116 128 140 145 160 203 224 232 280 290 320 406 448 464 560 580 640 812 896 928 1015 1120 1160 1229 1624 1856 2030 2240 2320 2458 3248 3712 4060 4480 4640 4916 6145 6496 8120 8603 9280 9832 12290 12992 16240 17206 18560 19664 24580 25984 32480 34412 35641 39328 43015 49160 64960 68824 71282 78656 86030 98320 129920 137648 142564 157312 172060 178205 196640 249487 275296 285128 344120 356410 393280 498974 550592 570256 688240 712820 786560 997948 1101184 1140512 1247435 1376480 1425640 1995896 2281024 2494870 2752960 2851280 3991792 4562048 4989740 5505920 5702560 7983584 9979480 11405120 15967168 19958960 22810240 31934336 39917920 79835840 159671680