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200120160 = 25351921943
BaseRepresentation
bin10111110110110…
…01011101100000
3111221120011020210
423323121131200
5402212321120
631505134120
74646664462
oct1373313540
9457504223
10200120160
11a2a65269
125702a340
13325c9bc6
141c814132
151287ece0
hexbed9760

200120160 has 96 divisors (see below), whose sum is σ = 663586560. Its totient is φ = 50554368.

The previous prime is 200120143. The next prime is 200120177. The reversal of 200120160 is 61021002.

It is an interprime number because it is at equal distance from previous prime (200120143) and next prime (200120177).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1852 + ... + 20091.

It is an arithmetic number, because the mean of its divisors is an integer number (6912360).

Almost surely, 2200120160 is an apocalyptic number.

200120160 is a gapful number since it is divisible by the number (20) 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 200120160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331793280).

200120160 is an abundant number, since it is smaller than the sum of its proper divisors (463466400).

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

200120160 is a wasteful number, since it uses less digits than its factorization.

200120160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21980 (or 21972 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 200120160 is about 14146.3832833696. The cubic root of 200120160 is about 584.9206408530.

Adding to 200120160 its reverse (61021002), we get a palindrome (261141162).

The spelling of 200120160 in words is "two hundred million, one hundred twenty thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 76 80 95 96 114 120 152 160 190 228 240 285 304 380 456 480 570 608 760 912 1140 1520 1824 2280 3040 4560 9120 21943 43886 65829 87772 109715 131658 175544 219430 263316 329145 351088 416917 438860 526632 658290 702176 833834 877720 1053264 1250751 1316580 1667668 1755440 2084585 2106528 2501502 2633160 3335336 3510880 4169170 5003004 5266320 6253755 6670672 8338340 10006008 10532640 12507510 13341344 16676680 20012016 25015020 33353360 40024032 50030040 66706720 100060080 200120160