Search a number
-
+
121666816 = 283115331
BaseRepresentation
bin1110100000001…
…11110100000000
322110221022111101
413100013310000
5222121314231
620023424144
73005102515
oct720076400
9273838441
10121666816
1162750097
12348b5054
131c28b7cb
141223130c
15aa34661
hex7407d00

121666816 has 36 divisors (see below), whose sum is σ = 250708864. Its totient is φ = 58867200.

The previous prime is 121666813. The next prime is 121666829. The reversal of 121666816 is 618666121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121666813) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 271 + ... + 15601.

Almost surely, 2121666816 is an apocalyptic number.

121666816 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 121666816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125354432).

121666816 is an abundant number, since it is smaller than the sum of its proper divisors (129042048).

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

121666816 is an equidigital number, since it uses as much as digits as its factorization.

121666816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15378 (or 15364 counting only the distinct ones).

The product of its digits is 20736, while the sum is 37.

The square root of 121666816 is about 11030.2681744371. The cubic root of 121666816 is about 495.5156562247.

The spelling of 121666816 in words is "one hundred twenty-one million, six hundred sixty-six thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 496 992 1984 3968 7936 15331 30662 61324 122648 245296 475261 490592 950522 981184 1901044 1962368 3802088 3924736 7604176 15208352 30416704 60833408 121666816