Search a number
-
+
120932280 = 233257371297
BaseRepresentation
bin1110011010101…
…00011110111000
322102112222220100
413031110132320
5221424313110
615555555400
72665623150
oct715243670
9272488810
10120932280
1162299237
12345bbb60
131c092381
14120bd760
15a93bbc0
hex73547b8

120932280 has 192 divisors, whose sum is σ = 461672640. Its totient is φ = 26873856.

The previous prime is 120932263. The next prime is 120932299. The reversal of 120932280 is 82239021.

It is a happy number.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 1297 × 1295 × 72.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92592 + ... + 93888.

It is an arithmetic number, because the mean of its divisors is an integer number (2404545).

Almost surely, 2120932280 is an apocalyptic number.

120932280 is a gapful number since it is divisible by the number (10) 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 120932280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230836320).

120932280 is an abundant number, since it is smaller than the sum of its proper divisors (340740360).

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

120932280 is a wasteful number, since it uses less digits than its factorization.

120932280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358 (or 1351 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 120932280 is about 10996.9213873702. The cubic root of 120932280 is about 494.5164546422.

It can be divided in two parts, 1209 and 32280, that added together give a square (33489 = 1832).

The spelling of 120932280 in words is "one hundred twenty million, nine hundred thirty-two thousand, two hundred eighty".