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121924530 = 232571314887
BaseRepresentation
bin1110100010001…
…10101110110010
322111102102000100
413101012232302
5222203041110
620033133230
73010225050
oct721065662
9274372010
10121924530
1162906782
12349ba216
131c34bbc0
141229b1d0
15aa85bc0
hex7446bb2

121924530 has 96 divisors (see below), whose sum is σ = 390184704. Its totient is φ = 25723008.

The previous prime is 121924511. The next prime is 121924531. The reversal of 121924530 is 35429121.

121924530 is a `hidden beast` number, since 121 + 9 + 2 + 4 + 530 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 121924494 and 121924503.

It is not an unprimeable number, because it can be changed into a prime (121924531) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 747 + ... + 15633.

It is an arithmetic number, because the mean of its divisors is an integer number (4064424).

Almost surely, 2121924530 is an apocalyptic number.

121924530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121924530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195092352).

121924530 is an abundant number, since it is smaller than the sum of its proper divisors (268260174).

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

121924530 is a wasteful number, since it uses less digits than its factorization.

121924530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14920 (or 14917 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 121924530 is about 11041.9441223002. The cubic root of 121924530 is about 495.8652756925.

The spelling of 121924530 in words is "one hundred twenty-one million, nine hundred twenty-four thousand, five hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 30 35 39 42 45 63 65 70 78 90 91 105 117 126 130 182 195 210 234 273 315 390 455 546 585 630 819 910 1170 1365 1638 2730 4095 8190 14887 29774 44661 74435 89322 104209 133983 148870 193531 208418 223305 267966 312627 387062 446610 521045 580593 625254 669915 937881 967655 1042090 1161186 1339830 1354717 1563135 1741779 1875762 1935310 2709434 2902965 3126270 3483558 4064151 4689405 5805930 6773585 8128302 8708895 9378810 12192453 13547170 17417790 20320755 24384906 40641510 60962265 121924530