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121409520 = 2435618293
BaseRepresentation
bin1110011110010…
…00111111110000
322110110020112220
413033020333300
5222040101040
620014121040
73002651421
oct717107760
9273406486
10121409520
1162594851
12347b0180
131c1cb66b
14121a5648
15a9d32d0
hex73c8ff0

121409520 has 80 divisors (see below), whose sum is σ = 382585632. Its totient is φ = 31841280.

The previous prime is 121409489. The next prime is 121409527. The reversal of 121409520 is 25904121.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121409527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10494 + ... + 18786.

Almost surely, 2121409520 is an apocalyptic number.

121409520 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 121409520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191292816).

121409520 is an abundant number, since it is smaller than the sum of its proper divisors (261176112).

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

121409520 is a wasteful number, since it uses less digits than its factorization.

121409520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8370 (or 8364 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 121409520 is about 11018.5988219918. The cubic root of 121409520 is about 495.1661109683.

The spelling of 121409520 in words is "one hundred twenty-one million, four hundred nine thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 61 80 120 122 183 240 244 305 366 488 610 732 915 976 1220 1464 1830 2440 2928 3660 4880 7320 8293 14640 16586 24879 33172 41465 49758 66344 82930 99516 124395 132688 165860 199032 248790 331720 398064 497580 505873 663440 995160 1011746 1517619 1990320 2023492 2529365 3035238 4046984 5058730 6070476 7588095 8093968 10117460 12140952 15176190 20234920 24281904 30352380 40469840 60704760 121409520