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1040300032 = 2114311813
BaseRepresentation
bin111110000000011…
…011100000000000
32200111111201100211
4332000123200000
54112304100112
6251121123504
734531255462
oct7600334000
92614451324
101040300032
114942498a2
12250489594
131376aa465
149c23c132
15614e20a7
hex3e01b800

1040300032 has 48 divisors (see below), whose sum is σ = 2128646520. Its totient is φ = 508010496.

The previous prime is 1040300017. The next prime is 1040300069. The reversal of 1040300032 is 2300030401.

It is a junction number, because it is equal to n+sod(n) for n = 1040299985 and 1040300021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 82158 + ... + 93970.

Almost surely, 21040300032 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 1040300032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1064323260).

1040300032 is an abundant number, since it is smaller than the sum of its proper divisors (1088346488).

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

1040300032 is an equidigital number, since it uses as much as digits as its factorization.

1040300032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11878 (or 11858 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 1040300032 is about 32253.6824564266. The cubic root of 1040300032 is about 1013.2568240173.

Adding to 1040300032 its reverse (2300030401), we get a palindrome (3340330433).

The spelling of 1040300032 in words is "one billion, forty million, three hundred thousand, thirty-two".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 256 344 512 688 1024 1376 2048 2752 5504 11008 11813 22016 23626 44032 47252 88064 94504 189008 378016 507959 756032 1015918 1512064 2031836 3024128 4063672 6048256 8127344 12096512 16254688 24193024 32509376 65018752 130037504 260075008 520150016 1040300032