Search a number
-
+
121366460 = 225139149293
BaseRepresentation
bin1110011101111…
…10011110111100
322110101001111002
413032332132330
5222032211320
620013145432
73002412035
oct716763674
9273331432
10121366460
1162565466
123478b278
131c1b4b97
1412193a8c
15a9c5675
hex73be7bc

121366460 has 48 divisors (see below), whose sum is σ = 259308000. Its totient is φ = 47710464.

The previous prime is 121366447. The next prime is 121366463. The reversal of 121366460 is 64663121.

It is a happy number.

It is a super-2 number, since 2×1213664602 = 29459635225863200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121366463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 414074 + ... + 414366.

It is an arithmetic number, because the mean of its divisors is an integer number (5402250).

Almost surely, 2121366460 is an apocalyptic number.

121366460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121366460 is an abundant number, since it is smaller than the sum of its proper divisors (137941540).

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

121366460 is a wasteful number, since it uses less digits than its factorization.

121366460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 121366460 is about 11016.6446797562. The cubic root of 121366460 is about 495.1075642855.

The spelling of 121366460 in words is "one hundred twenty-one million, three hundred sixty-six thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 139 149 278 293 298 556 586 596 695 745 1172 1390 1465 1490 2780 2930 2980 5860 20711 40727 41422 43657 81454 82844 87314 103555 162908 174628 203635 207110 218285 407270 414220 436570 814540 873140 6068323 12136646 24273292 30341615 60683230 121366460