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1041412032 = 26332326203
BaseRepresentation
bin111110000100101…
…010111111000000
32200120121012202000
4332010222333000
54113100141112
6251201024000
734543566453
oct7604527700
92616535660
101041412032
11494939301
12250925000
131379a964b
149c44b49a
15616617dc
hex3e12afc0

1041412032 has 112 divisors (see below), whose sum is σ = 3194791680. Its totient is φ = 332031744.

The previous prime is 1041412019. The next prime is 1041412093. The reversal of 1041412032 is 2302141401.

1041412032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 1041411996 and 1041412014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26643 + ... + 52845.

Almost surely, 21041412032 is an apocalyptic number.

1041412032 is a gapful number since it is divisible by the number (12) 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 1041412032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1597395840).

1041412032 is an abundant number, since it is smaller than the sum of its proper divisors (2153379648).

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

1041412032 is a wasteful number, since it uses less digits than its factorization.

1041412032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26247 (or 26231 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1041412032 is about 32270.9161939973. The cubic root of 1041412032 is about 1013.6177264254.

Adding to 1041412032 its reverse (2302141401), we get a palindrome (3343553433).

The spelling of 1041412032 in words is "one billion, forty-one million, four hundred twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 92 96 108 138 144 184 192 207 216 276 288 368 414 432 552 576 621 736 828 864 1104 1242 1472 1656 1728 2208 2484 3312 4416 4968 6624 9936 13248 19872 26203 39744 52406 78609 104812 157218 209624 235827 314436 419248 471654 602669 628872 707481 838496 943308 1205338 1257744 1414962 1676992 1808007 1886616 2410676 2515488 2829924 3616014 3773232 4821352 5030976 5424021 5659848 7232028 7546464 9642704 10848042 11319696 14464056 15092928 16272063 19285408 21696084 22639392 28928112 32544126 38570816 43392168 45278784 57856224 65088252 86784336 115712448 130176504 173568672 260353008 347137344 520706016 1041412032