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121139460 = 223251351769
BaseRepresentation
bin1110011100001…
…11000100000100
322102221112002200
413032013010010
5222002430320
620004234500
73000445161
oct716070404
9272845080
10121139460
116241a962
123469ba30
131c135770
1412135068
15a97d290
hex7387104

121139460 has 72 divisors (see below), whose sum is σ = 395729880. Its totient is φ = 29818368.

The previous prime is 121139441. The next prime is 121139477. The reversal of 121139460 is 64931121.

121139460 is a `hidden beast` number, since 1 + 211 + 394 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3069504 + 118069956 = 1752^2 + 10866^2 .

It is a super-3 number, since 3×1211394603 (a number of 25 digits) contains 333 as substring.

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 23 ways as a sum of consecutive naturals, for example, 23545 + ... + 28224.

Almost surely, 2121139460 is an apocalyptic number.

121139460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121139460 is an abundant number, since it is smaller than the sum of its proper divisors (274590420).

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

121139460 is a wasteful number, since it uses less digits than its factorization.

121139460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51797 (or 51792 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 121139460 is about 11006.3372654121. The cubic root of 121139460 is about 494.7986937792.

The spelling of 121139460 in words is "one hundred twenty-one million, one hundred thirty-nine thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 51769 103538 155307 207076 258845 310614 465921 517690 621228 672997 776535 931842 1035380 1345994 1553070 1863684 2018991 2329605 2691988 3106140 3364985 4037982 4659210 6056973 6729970 8075964 9318420 10094955 12113946 13459940 20189910 24227892 30284865 40379820 60569730 121139460