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200000120 = 23583107563
BaseRepresentation
bin10111110101111…
…00001001111000
3111221100001120212
423322330021320
5402200000440
631502410252
74645654505
oct1372741170
9457301525
10200000120
11a2993061
1256b90988
1332587388
141c7c24ac
1512859465
hexbebc278

200000120 has 64 divisors (see below), whose sum is σ = 460494720. Its totient is φ = 78158464.

The previous prime is 200000117. The next prime is 200000123. The reversal of 200000120 is 21000002.

It is an interprime number because it is at equal distance from previous prime (200000117) and next prime (200000123).

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200000123) 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, 354959 + ... + 355521.

It is an arithmetic number, because the mean of its divisors is an integer number (7195230).

Almost surely, 2200000120 is an apocalyptic number.

200000120 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 200000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230247360).

200000120 is an abundant number, since it is smaller than the sum of its proper divisors (260494600).

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

200000120 is a wasteful number, since it uses less digits than its factorization.

200000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

The square root of 200000120 is about 14142.1398663710. The cubic root of 200000120 is about 584.8036646033.

Adding to 200000120 its reverse (21000002), we get a palindrome (221000122).

The spelling of 200000120 in words is "two hundred million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 40 83 107 166 214 332 415 428 535 563 664 830 856 1070 1126 1660 2140 2252 2815 3320 4280 4504 5630 8881 11260 17762 22520 35524 44405 46729 60241 71048 88810 93458 120482 177620 186916 233645 240964 301205 355240 373832 467290 481928 602410 934580 1204820 1869160 2409640 5000003 10000006 20000012 25000015 40000024 50000030 100000060 200000120