Search a number
-
+
930611232 = 25325715659
BaseRepresentation
bin110111011110000…
…000000000100000
32101212002221121200
4313132000000200
53401214024412
6232202121200
732030031165
oct6736000040
92355087550
10930611232
1143833aaa1
1221b7b0200
1311aa53945
148b84806c
1556a769dc
hex37780020

930611232 has 72 divisors (see below), whose sum is σ = 2651528880. Its totient is φ = 309605760.

The previous prime is 930611221. The next prime is 930611251. The reversal of 930611232 is 232116039.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 930611196 and 930611205.

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, 161619 + ... + 167277.

It is an arithmetic number, because the mean of its divisors is an integer number (36826790).

Almost surely, 2930611232 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 930611232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1325764440).

930611232 is an abundant number, since it is smaller than the sum of its proper divisors (1720917648).

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

930611232 is a wasteful number, since it uses less digits than its factorization.

930611232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6246 (or 6235 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 930611232 is about 30505.9212612896. The cubic root of 930611232 is about 976.3138044067.

The spelling of 930611232 in words is "nine hundred thirty million, six hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 571 1142 1713 2284 3426 4568 5139 5659 6852 9136 10278 11318 13704 16977 18272 20556 22636 27408 33954 41112 45272 50931 54816 67908 82224 90544 101862 135816 164448 181088 203724 271632 407448 543264 814896 1629792 3231289 6462578 9693867 12925156 19387734 25850312 29081601 38775468 51700624 58163202 77550936 103401248 116326404 155101872 232652808 310203744 465305616 930611232