Search a number
-
+
121280832 = 2632210557
BaseRepresentation
bin1110011101010…
…01100101000000
322110012201000200
413032221211000
5222021441312
620011245200
73001604301
oct716514500
9273181020
10121280832
11625070a2
1234749800
131c184c0a
14121707a8
15a9aa0dc
hex73a9940

121280832 has 42 divisors (see below), whose sum is σ = 347631258. Its totient is φ = 40426752.

The previous prime is 121280827. The next prime is 121280833. The reversal of 121280832 is 238082121.

It can be written as a sum of positive squares in only one way, i.e., 108493056 + 12787776 = 10416^2 + 3576^2 .

It is a super-2 number, since 2×1212808322 = 29418080421224448, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121280796 and 121280805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121280833) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 104703 + ... + 105854.

Almost surely, 2121280832 is an apocalyptic number.

121280832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121280832 is an abundant number, since it is smaller than the sum of its proper divisors (226350426).

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

121280832 is a wasteful number, since it uses less digits than its factorization.

121280832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210575 (or 210562 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 121280832 is about 11012.7576927852. The cubic root of 121280832 is about 494.9910987074.

The spelling of 121280832 in words is "one hundred twenty-one million, two hundred eighty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 210557 421114 631671 842228 1263342 1684456 1895013 2526684 3368912 3790026 5053368 6737824 7580052 10106736 13475648 15160104 20213472 30320208 40426944 60640416 121280832