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159990800 = 2452617983
BaseRepresentation
bin10011000100101…
…00010000010000
3102011001101010012
421202110100100
5311424201200
623513054052
73651620324
oct1142242020
9364041105
10159990800
1182346502
12456b7328
13271b9518
1417369984
15e0a4a35
hex9894410

159990800 has 120 divisors (see below), whose sum is σ = 400391040. Its totient is φ = 61401600.

The previous prime is 159990799. The next prime is 159990821. The reversal of 159990800 is 8099951.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1927559 + ... + 1927641.

It is an arithmetic number, because the mean of its divisors is an integer number (3336592).

Almost surely, 2159990800 is an apocalyptic number.

159990800 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 159990800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200195520).

159990800 is an abundant number, since it is smaller than the sum of its proper divisors (240400240).

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

159990800 is a wasteful number, since it uses less digits than its factorization.

159990800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 41.

The square root of 159990800 is about 12648.7469735148. The cubic root of 159990800 is about 542.8731178520.

It can be divided in two parts, 159990 and 800, that multiplied together give a triangular number (127992000 = T15999).

The spelling of 159990800 in words is "one hundred fifty-nine million, nine hundred ninety thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 61 79 80 83 100 122 158 166 200 244 305 316 332 395 400 415 488 610 632 664 790 830 976 1220 1264 1328 1525 1580 1660 1975 2075 2440 3050 3160 3320 3950 4150 4819 4880 5063 6100 6320 6557 6640 7900 8300 9638 10126 12200 13114 15800 16600 19276 20252 24095 24400 25315 26228 31600 32785 33200 38552 40504 48190 50630 52456 65570 77104 81008 96380 101260 104912 120475 126575 131140 163925 192760 202520 240950 253150 262280 327850 385520 399977 405040 481900 506300 524560 655700 799954 963800 1012600 1311400 1599908 1927600 1999885 2025200 2622800 3199816 3999770 6399632 7999540 9999425 15999080 19998850 31998160 39997700 79995400 159990800