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1041542120 = 235231995689
BaseRepresentation
bin111110000101001…
…010101111101000
32200120211211012002
4332011022233220
54113113321440
6251203510132
734544650643
oct7605125750
92616754162
101041542120
11494a18013
12250988348
13137a23918
149c482a5a
156168a115
hex3e14abe8

1041542120 has 64 divisors (see below), whose sum is σ = 2458080000. Its totient is φ = 396430848.

The previous prime is 1041542107. The next prime is 1041542129. The reversal of 1041542120 is 212451401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1041542092 and 1041542101.

It is not an unprimeable number, because it can be changed into a prime (1041542129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180236 + ... + 185924.

It is an arithmetic number, because the mean of its divisors is an integer number (38407500).

Almost surely, 21041542120 is an apocalyptic number.

1041542120 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 1041542120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1229040000).

1041542120 is an abundant number, since it is smaller than the sum of its proper divisors (1416537880).

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

1041542120 is a wasteful number, since it uses less digits than its factorization.

1041542120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5922 (or 5918 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 1041542120 is about 32272.9316920543. The cubic root of 1041542120 is about 1013.6599300261.

Adding to 1041542120 its reverse (212451401), we get a palindrome (1253993521).

The spelling of 1041542120 in words is "one billion, forty-one million, five hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 199 230 398 460 796 920 995 1592 1990 3980 4577 5689 7960 9154 11378 18308 22756 22885 28445 36616 45512 45770 56890 91540 113780 130847 183080 227560 261694 523388 654235 1046776 1132111 1308470 2264222 2616940 4528444 5233880 5660555 9056888 11321110 22642220 26038553 45284440 52077106 104154212 130192765 208308424 260385530 520771060 1041542120