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121187840 = 29547339
BaseRepresentation
bin1110011100100…
…10111000000000
322110000222110112
413032102320000
5222011002330
620005250452
73001036214
oct716227000
9273028415
10121187840
1162453244
1234703a28
131c1517a7
1412148944
15a98c795
hex7392e00

121187840 has 40 divisors (see below), whose sum is σ = 290572920. Its totient is φ = 48474112.

The previous prime is 121187837. The next prime is 121187863. The reversal of 121187840 is 48781121.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 121187797 and 121187806.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21110 + ... + 26229.

It is an arithmetic number, because the mean of its divisors is an integer number (7264323).

Almost surely, 2121187840 is an apocalyptic number.

121187840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121187840 is an abundant number, since it is smaller than the sum of its proper divisors (169385080).

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

121187840 is an frugal number, since it uses more digits than its factorization.

121187840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47362 (or 47346 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 32.

The square root of 121187840 is about 11008.5348707264. The cubic root of 121187840 is about 494.8645549905.

The spelling of 121187840 in words is "one hundred twenty-one million, one hundred eighty-seven thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 47339 94678 189356 236695 378712 473390 757424 946780 1514848 1893560 3029696 3787120 6059392 7574240 12118784 15148480 24237568 30296960 60593920 121187840