Search a number
-
+
1032242040 = 23325171511117
BaseRepresentation
bin111101100001101…
…100001101111000
32122221100022212200
4331201230031320
54103223221130
6250232310200
734402625004
oct7541541570
92587308780
101032242040
1148a7457a5
12249842360
13135b1880b
149b141704
156094e760
hex3d86c378

1032242040 has 192 divisors, whose sum is σ = 3578852160. Its totient is φ = 257126400.

The previous prime is 1032242009. The next prime is 1032242053. The reversal of 1032242040 is 402422301.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 923562 + ... + 924678.

It is an arithmetic number, because the mean of its divisors is an integer number (18639855).

Almost surely, 21032242040 is an apocalyptic number.

1032242040 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 1032242040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1789426080).

1032242040 is an abundant number, since it is smaller than the sum of its proper divisors (2546610120).

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

1032242040 is a wasteful number, since it uses less digits than its factorization.

1032242040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1302 (or 1295 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 1032242040 is about 32128.5237756110. The cubic root of 1032242040 is about 1010.6338667224.

Adding to 1032242040 its reverse (402422301), we get a palindrome (1434664341).

The spelling of 1032242040 in words is "one billion, thirty-two million, two hundred forty-two thousand, forty".