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121990140 = 223254315761
BaseRepresentation
bin1110100010101…
…10101111111100
322111112202000100
413101112233330
5222212141030
620034401100
73010620246
oct721265774
9274482010
10121990140
1162950aa8
1234a30190
131c372a1c
14122b7096
15aa9a360
hex7456bfc

121990140 has 72 divisors (see below), whose sum is σ = 378666288. Its totient is φ = 31772160.

The previous prime is 121990139. The next prime is 121990151. The reversal of 121990140 is 41099121.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141 + ... + 15620.

It is an arithmetic number, because the mean of its divisors is an integer number (5259254).

Almost surely, 2121990140 is an apocalyptic number.

121990140 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 121990140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189333144).

121990140 is an abundant number, since it is smaller than the sum of its proper divisors (256676148).

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

121990140 is a wasteful number, since it uses less digits than its factorization.

121990140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15819 (or 15814 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 121990140 is about 11044.9146669406. The cubic root of 121990140 is about 495.9542047122.

The spelling of 121990140 in words is "one hundred twenty-one million, nine hundred ninety thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 129 172 180 215 258 387 430 516 645 774 860 1290 1548 1935 2580 3870 7740 15761 31522 47283 63044 78805 94566 141849 157610 189132 236415 283698 315220 472830 567396 677723 709245 945660 1355446 1418490 2033169 2710892 2836980 3388615 4066338 6099507 6777230 8132676 10165845 12199014 13554460 20331690 24398028 30497535 40663380 60995070 121990140