Search a number
-
+
121724070 = 235131916427
BaseRepresentation
bin1110100000101…
…01110010100110
322111001020000220
413100111302212
5222130132240
620024545210
73005431446
oct720256246
9274036026
10121724070
116278a106
1234922206
131c2ab8a0
1412248126
15aa465d0
hex7415ca6

121724070 has 64 divisors (see below), whose sum is σ = 331188480. Its totient is φ = 28384128.

The previous prime is 121724047. The next prime is 121724077. The reversal of 121724070 is 70427121.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 121724070.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121724077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 804 + ... + 15623.

It is an arithmetic number, because the mean of its divisors is an integer number (5174820).

Almost surely, 2121724070 is an apocalyptic number.

121724070 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 121724070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165594240).

121724070 is an abundant number, since it is smaller than the sum of its proper divisors (209464410).

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

121724070 is a wasteful number, since it uses less digits than its factorization.

121724070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16469.

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 121724070 is about 11032.8631823294. The cubic root of 121724070 is about 495.5933706619.

The spelling of 121724070 in words is "one hundred twenty-one million, seven hundred twenty-four thousand, seventy".

Divisors: 1 2 3 5 6 10 13 15 19 26 30 38 39 57 65 78 95 114 130 190 195 247 285 390 494 570 741 1235 1482 2470 3705 7410 16427 32854 49281 82135 98562 164270 213551 246405 312113 427102 492810 624226 640653 936339 1067755 1281306 1560565 1872678 2135510 3121130 3203265 4057469 4681695 6406530 8114938 9363390 12172407 20287345 24344814 40574690 60862035 121724070