Search a number
-
+
380127726 = 232114674111
BaseRepresentation
bin10110101010000…
…100100111101110
3222111021111012200
4112222010213232
51234303041401
6101415242330
712264014046
oct2652044756
9874244180
10380127726
11185632650
12a73793a6
13609a4364
14386b0726
152358a686
hex16a849ee

380127726 has 48 divisors (see below), whose sum is σ = 900626688. Its totient is φ = 114915600.

The previous prime is 380127719. The next prime is 380127731. The reversal of 380127726 is 627721083.

380127726 is a `hidden beast` number, since 380 + 1 + 277 + 2 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90411 + ... + 94521.

It is an arithmetic number, because the mean of its divisors is an integer number (18763056).

Almost surely, 2380127726 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380127726, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450313344).

380127726 is an abundant number, since it is smaller than the sum of its proper divisors (520498962).

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

380127726 is a wasteful number, since it uses less digits than its factorization.

380127726 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4597 (or 4594 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 380127726 is about 19496.8645171474. The cubic root of 380127726 is about 724.3967878324.

The spelling of 380127726 in words is "three hundred eighty million, one hundred twenty-seven thousand, seven hundred twenty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 467 934 1401 2802 4111 4203 5137 8222 8406 10274 12333 15411 24666 30822 36999 45221 46233 73998 90442 92466 135663 271326 406989 813978 1919837 3839674 5759511 11519022 17278533 21118207 34557066 42236414 63354621 126709242 190063863 380127726