Search a number
-
+
1038032145 = 33510771861
BaseRepresentation
bin111101110111110…
…001110100010001
32200100020111102000
4331313301310101
54111214012040
6251000344213
734503061533
oct7567616421
92610214360
101038032145
11492a3aa07
1224b775069
13137095107
149bc0b853
15611e5130
hex3ddf1d11

1038032145 has 32 divisors (see below), whose sum is σ = 1862663040. Its totient is φ = 548435520.

The previous prime is 1038032071. The next prime is 1038032147. The reversal of 1038032145 is 5412308301.

It is a happy number.

It is not a de Polignac number, because 1038032145 - 28 = 1038031889 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1038032147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21486 + ... + 50375.

It is an arithmetic number, because the mean of its divisors is an integer number (58208220).

Almost surely, 21038032145 is an apocalyptic number.

1038032145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1038032145 is a deficient number, since it is larger than the sum of its proper divisors (824630895).

1038032145 is a wasteful number, since it uses less digits than its factorization.

1038032145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71982 (or 71976 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1038032145 is about 32218.5062502904. The cubic root of 1038032145 is about 1012.5199776579.

The spelling of 1038032145 in words is "one billion, thirty-eight million, thirty-two thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 27 45 107 135 321 535 963 1605 2889 4815 14445 71861 215583 359305 646749 1077915 1940247 3233745 7689127 9701235 23067381 38445635 69202143 115336905 207606429 346010715 1038032145