Search a number
-
+
1014163976 = 237210724179
BaseRepresentation
bin111100011100101…
…110101000001000
32121200022212102202
4330130232220020
54034111221401
6244345015332
734063152200
oct7434565010
92550285382
101014163976
11480518451
12243784548
13132159137
1498997400
155e07d06b
hex3c72ea08

1014163976 has 48 divisors (see below), whose sum is σ = 2232781200. Its totient is φ = 430561824.

The previous prime is 1014163939. The next prime is 1014163981. The reversal of 1014163976 is 6793614101.

It is a happy number.

It is a super-2 number, since 2×10141639762 = 2057057140432257152, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29855 + ... + 54033.

It is an arithmetic number, because the mean of its divisors is an integer number (46516275).

Almost surely, 21014163976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1014163976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1116390600).

1014163976 is an abundant number, since it is smaller than the sum of its proper divisors (1218617224).

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

1014163976 is a wasteful number, since it uses less digits than its factorization.

1014163976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24306 (or 24295 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 38.

The square root of 1014163976 is about 31845.9412798554. The cubic root of 1014163976 is about 1004.6992081856.

The spelling of 1014163976 in words is "one billion, fourteen million, one hundred sixty-three thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 14 28 49 56 98 107 196 214 392 428 749 856 1498 2996 5243 5992 10486 20972 24179 41944 48358 96716 169253 193432 338506 677012 1184771 1354024 2369542 2587153 4739084 5174306 9478168 10348612 18110071 20697224 36220142 72440284 126770497 144880568 253540994 507081988 1014163976