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200049120 = 25325138923
BaseRepresentation
bin10111110110010…
…00000111100000
3111221102112210200
423323020013200
5402203032440
631503425200
74646250405
oct1373100740
9457375720
10200049120
11a2a16957
1256bb5200
13325a377b
141c7d62ac
1512868c30
hexbec81e0

200049120 has 72 divisors (see below), whose sum is σ = 682672536. Its totient is φ = 53346048.

The previous prime is 200049097. The next prime is 200049139. The reversal of 200049120 is 21940002.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 200049093 and 200049102.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 68022 + ... + 70901.

It is an arithmetic number, because the mean of its divisors is an integer number (9481563).

Almost surely, 2200049120 is an apocalyptic number.

200049120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200049120 is an abundant number, since it is smaller than the sum of its proper divisors (482623416).

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

200049120 is a wasteful number, since it uses less digits than its factorization.

200049120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138944 (or 138933 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 200049120 is about 14143.8721713681. The cubic root of 200049120 is about 584.8514196408.

Adding to 200049120 its reverse (21940002), we get a palindrome (221989122).

The spelling of 200049120 in words is "two hundred million, forty-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 138923 277846 416769 555692 694615 833538 1111384 1250307 1389230 1667076 2083845 2222768 2500614 2778460 3334152 4167690 4445536 5001228 5556920 6251535 6668304 8335380 10002456 11113840 12503070 13336608 16670760 20004912 22227680 25006140 33341520 40009824 50012280 66683040 100024560 200049120