Search a number
-
+
1020132162 = 232712316577
BaseRepresentation
bin111100110011011…
…111101101000010
32122002120002020200
4330303133231002
54042123212122
6245120550030
734164660150
oct7463375502
92562502220
101020132162
11483924435
12245782316
131334687ca
14996ac3d0
155e85b5ac
hex3ccdfb42

1020132162 has 48 divisors (see below), whose sum is σ = 2528477952. Its totient is φ = 291185280.

The previous prime is 1020132161. The next prime is 1020132251. The reversal of 1020132162 is 2612310201.

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

It is not an unprimeable number, because it can be changed into a prime (1020132161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151818 + ... + 158394.

It is an arithmetic number, because the mean of its divisors is an integer number (52676624).

Almost surely, 21020132162 is an apocalyptic number.

1020132162 is an abundant number, since it is smaller than the sum of its proper divisors (1508345790).

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

1020132162 is a wasteful number, since it uses less digits than its factorization.

1020132162 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7823 (or 7820 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1020132162 is about 31939.5078546931. The cubic root of 1020132162 is about 1006.6661839147. Note that the first 3 decimals are identical.

Adding to 1020132162 its reverse (2612310201), we get a palindrome (3632442363).

The spelling of 1020132162 in words is "one billion, twenty million, one hundred thirty-two thousand, one hundred sixty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 1231 2462 3693 6577 7386 8617 11079 13154 17234 19731 22158 25851 39462 46039 51702 59193 77553 92078 118386 138117 155106 276234 414351 828702 8096287 16192574 24288861 48577722 56674009 72866583 113348018 145733166 170022027 340044054 510066081 1020132162