Search a number
-
+
900040932 = 2232711331607
BaseRepresentation
bin110101101001011…
…000100011100100
32022201120211001100
4311221120203210
53320402302212
6225151000100
731206136020
oct6551304344
92281524040
10900040932
1142206008a
12211509030
1311460c1cb
148776b380
1554038bdc
hex35a588e4

900040932 has 72 divisors (see below), whose sum is σ = 2623211136. Its totient is φ = 254870784.

The previous prime is 900040927. The next prime is 900040993. The reversal of 900040932 is 239040009.

It is a super-3 number, since 3×9000409323 (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 900040896 and 900040905.

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, 12673 + ... + 44279.

It is an arithmetic number, because the mean of its divisors is an integer number (36433488).

Almost surely, 2900040932 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 900040932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1311605568).

900040932 is an abundant number, since it is smaller than the sum of its proper divisors (1723170204).

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

900040932 is a wasteful number, since it uses less digits than its factorization.

900040932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31737 (or 31732 counting only the distinct ones).

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

The square root of 900040932 is about 30000.6821922436. The cubic root of 900040932 is about 965.5040212028.

The spelling of 900040932 in words is "nine hundred million, forty thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 113 126 226 252 339 452 678 791 1017 1356 1582 2034 2373 3164 4068 4746 7119 9492 14238 28476 31607 63214 94821 126428 189642 221249 284463 379284 442498 568926 663747 884996 1137852 1327494 1991241 2654988 3571591 3982482 7143182 7964964 10714773 14286364 21429546 25001137 32144319 42859092 50002274 64288638 75003411 100004548 128577276 150006822 225010233 300013644 450020466 900040932