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121624140 = 223511184279
BaseRepresentation
bin1110011111111…
…01011001001100
322110212010221210
413033331121030
5222113433030
620022454420
73004534221
oct717753114
9273763853
10121624140
1162721020
1234894410
131c275261
141221d948
15aa26bb0
hex73fd64c

121624140 has 48 divisors (see below), whose sum is σ = 371508480. Its totient is φ = 29484480.

The previous prime is 121624127. The next prime is 121624147. The reversal of 121624140 is 41426121.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (121624147) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 91480 + ... + 92799.

It is an arithmetic number, because the mean of its divisors is an integer number (7739760).

Almost surely, 2121624140 is an apocalyptic number.

121624140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121624140 is an abundant number, since it is smaller than the sum of its proper divisors (249884340).

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

121624140 is a wasteful number, since it uses less digits than its factorization.

121624140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184302 (or 184300 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 121624140 is about 11028.3335096469. Note that the first 3 decimals coincide. The cubic root of 121624140 is about 495.4577135586.

The spelling of 121624140 in words is "one hundred twenty-one million, six hundred twenty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 184279 368558 552837 737116 921395 1105674 1842790 2027069 2211348 2764185 3685580 4054138 5528370 6081207 8108276 10135345 11056740 12162414 20270690 24324828 30406035 40541380 60812070 121624140