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121454816 = 2571314139
BaseRepresentation
bin1110011110101…
…00000011100000
322110112112200112
413033110003200
5222043023231
620015110452
73003230450
oct717240340
9273475615
10121454816
116261588a
1234812428
131c216172
14121b7d60
15a9e192b
hex73d40e0

121454816 has 48 divisors (see below), whose sum is σ = 275425920. Its totient is φ = 51642240.

The previous prime is 121454803. The next prime is 121454849. The reversal of 121454816 is 618454121.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27275 + ... + 31413.

It is an arithmetic number, because the mean of its divisors is an integer number (5738040).

Almost surely, 2121454816 is an apocalyptic number.

121454816 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 121454816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137712960).

121454816 is an abundant number, since it is smaller than the sum of its proper divisors (153971104).

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

121454816 is a wasteful number, since it uses less digits than its factorization.

121454816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4287 (or 4279 counting only the distinct ones).

The product of its digits is 7680, while the sum is 32.

The square root of 121454816 is about 11020.6540640744. The cubic root of 121454816 is about 495.2276828984.

It can be divided in two parts, 12145 and 4816, that added together give a palindrome (16961).

The spelling of 121454816 in words is "one hundred twenty-one million, four hundred fifty-four thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 131 224 262 524 917 1048 1834 2096 3668 4139 4192 7336 8278 14672 16556 28973 29344 33112 57946 66224 115892 132448 231784 463568 542209 927136 1084418 2168836 3795463 4337672 7590926 8675344 15181852 17350688 30363704 60727408 121454816