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163156680 = 23345371361
BaseRepresentation
bin10011011100110…
…01001011001000
3102101000012220000
421232121023020
5313232003210
624105003000
74020544311
oct1156311310
9371005800
10163156680
1184109035
1246783460
1327a5751b
1417951608
15e4ccac0
hex9b992c8

163156680 has 160 divisors (see below), whose sum is σ = 563622840. Its totient is φ = 42301440.

The previous prime is 163156673. The next prime is 163156691. The reversal of 163156680 is 86651361.

It is a happy number.

163156680 is a `hidden beast` number, since 16 + 3 + 1 + 566 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 136469124 + 26687556 = 11682^2 + 5166^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 119200 + ... + 120560.

Almost surely, 2163156680 is an apocalyptic number.

163156680 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 163156680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281811420).

163156680 is an abundant number, since it is smaller than the sum of its proper divisors (400466160).

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

163156680 is a wasteful number, since it uses less digits than its factorization.

163156680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1421 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 163156680 is about 12773.2799233400. The cubic root of 163156680 is about 546.4305262741.

It can be divided in two parts, 1631 and 56680, that added together give a triangular number (58311 = T341).

The spelling of 163156680 in words is "one hundred sixty-three million, one hundred fifty-six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 37 40 45 54 60 72 74 81 90 108 111 120 135 148 162 180 185 216 222 270 296 324 333 360 370 405 444 540 555 648 666 740 810 888 999 1080 1110 1332 1361 1480 1620 1665 1998 2220 2664 2722 2997 3240 3330 3996 4083 4440 4995 5444 5994 6660 6805 7992 8166 9990 10888 11988 12249 13320 13610 14985 16332 19980 20415 23976 24498 27220 29970 32664 36747 39960 40830 48996 50357 54440 59940 61245 73494 81660 97992 100714 110241 119880 122490 146988 151071 163320 183735 201428 220482 244980 251785 293976 302142 367470 402856 440964 453213 489960 503570 551205 604284 734940 755355 881928 906426 1007140 1102410 1208568 1359639 1469880 1510710 1812852 2014280 2204820 2266065 2719278 3021420 3625704 4078917 4409640 4532130 5438556 6042840 6798195 8157834 9064260 10877112 13596390 16315668 18128520 20394585 27192780 32631336 40789170 54385560 81578340 163156680