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121410496 = 2661137227
BaseRepresentation
bin1110011110010…
…01001111000000
322110110021220001
413033021033000
5222040113441
620014125344
73002654314
oct717111700
9273407801
10121410496
1162595559
12347b0854
131c1cbc3c
14121a5b44
15a9d3731
hex73c93c0

121410496 has 56 divisors (see below), whose sum is σ = 247747536. Its totient is φ = 59013120.

The previous prime is 121410463. The next prime is 121410511. The reversal of 121410496 is 694014121.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 534735 + ... + 534961.

Almost surely, 2121410496 is an apocalyptic number.

121410496 is a gapful number since it is divisible by the number (16) 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 121410496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123873768).

121410496 is an abundant number, since it is smaller than the sum of its proper divisors (126337040).

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

121410496 is a wasteful number, since it uses less digits than its factorization.

121410496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 121410496 is about 11018.6431106557. The cubic root of 121410496 is about 495.1674378297.

The spelling of 121410496 in words is "one hundred twenty-one million, four hundred ten thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 32 61 64 122 137 227 244 274 454 488 548 908 976 1096 1816 1952 2192 3632 3904 4384 7264 8357 8768 13847 14528 16714 27694 31099 33428 55388 62198 66856 110776 124396 133712 221552 248792 267424 443104 497584 534848 886208 995168 1897039 1990336 3794078 7588156 15176312 30352624 60705248 121410496