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121413952 = 26111929313
BaseRepresentation
bin1110011110010…
…10000101000000
322110110110122001
413033022011000
5222040221302
620014153344
73003000352
oct717120500
9273413561
10121413952
1162598110
12347b2854
131c20069a
14121a70d2
15a9d4787
hex73ca140

121413952 has 112 divisors (see below), whose sum is σ = 287121600. Its totient is φ = 50319360.

The previous prime is 121413947. The next prime is 121413953. The reversal of 121413952 is 259314121.

It is a self number, because there is not a number n which added to its sum of digits gives 121413952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121413953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 387748 + ... + 388060.

Almost surely, 2121413952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121413952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143560800).

121413952 is an abundant number, since it is smaller than the sum of its proper divisors (165707648).

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

121413952 is a wasteful number, since it uses less digits than its factorization.

121413952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 374 counting only the distinct ones).

The product of its digits is 2160, while the sum is 28.

The square root of 121413952 is about 11018.7999346571. The cubic root of 121413952 is about 495.1721361672.

The spelling of 121413952 in words is "one hundred twenty-one million, four hundred thirteen thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 11 16 19 22 29 32 38 44 58 64 76 88 116 152 176 209 232 304 313 319 352 418 464 551 608 626 638 704 836 928 1102 1216 1252 1276 1672 1856 2204 2504 2552 3344 3443 4408 5008 5104 5947 6061 6688 6886 8816 9077 10016 10208 11894 12122 13376 13772 17632 18154 20032 20416 23788 24244 27544 35264 36308 47576 48488 55088 65417 72616 95152 96976 99847 110176 130834 145232 172463 190304 193952 199694 220352 261668 290464 344926 380608 387904 399388 523336 580928 689852 798776 1046672 1379704 1597552 1897093 2093344 2759408 3195104 3794186 4186688 5518816 6390208 7588372 11037632 15176744 30353488 60706976 121413952