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121540032 = 2632211007
BaseRepresentation
bin1110011111010…
…00110111000000
322110200212120200
413033220313000
5222103240112
620021005200
73004034055
oct717506700
9273625520
10121540032
1162673909
1234853800
131c245ba3
14121db02c
15aa0bcdc
hex73e8dc0

121540032 has 42 divisors (see below), whose sum is σ = 348374208. Its totient is φ = 40513152.

The previous prime is 121540007. The next prime is 121540033. The reversal of 121540032 is 230045121.

121540032 is a `hidden beast` number, since 121 + 540 + 0 + 3 + 2 = 666.

It is a super-2 number, since 2×1215400322 = 29543958757122048, which contains 22 as substring.

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 = 121539987 and 121540014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121540033) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 104928 + ... + 106079.

It is an arithmetic number, because the mean of its divisors is an integer number (8294624).

Almost surely, 2121540032 is an apocalyptic number.

121540032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121540032 is an abundant number, since it is smaller than the sum of its proper divisors (226834176).

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

121540032 is a wasteful number, since it uses less digits than its factorization.

121540032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211025 (or 211012 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 121540032 is about 11024.5195813695. The cubic root of 121540032 is about 495.3434775552.

Adding to 121540032 its reverse (230045121), we get a palindrome (351585153).

The spelling of 121540032 in words is "one hundred twenty-one million, five hundred forty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 211007 422014 633021 844028 1266042 1688056 1899063 2532084 3376112 3798126 5064168 6752224 7596252 10128336 13504448 15192504 20256672 30385008 40513344 60770016 121540032