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1042102032 = 243231635791
BaseRepresentation
bin111110000111010…
…011011100010000
32200121220021020120
4332013103130100
54113234231112
6251223510240
734552502226
oct7607233420
92617807216
101042102032
1149526a754
12250bb8380
13137b8b72a
149c58ab16
156174ae8c
hex3e1d3710

1042102032 has 80 divisors (see below), whose sum is σ = 2826866688. Its totient is φ = 330168960.

The previous prime is 1042102031. The next prime is 1042102049. The reversal of 1042102032 is 2302012401.

1042102032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1042102031) 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, 177057 + ... + 182847.

Almost surely, 21042102032 is an apocalyptic number.

1042102032 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 1042102032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1413433344).

1042102032 is an abundant number, since it is smaller than the sum of its proper divisors (1784764656).

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

1042102032 is a wasteful number, since it uses less digits than its factorization.

1042102032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5988 (or 5982 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1042102032 is about 32281.6051645515. The cubic root of 1042102032 is about 1013.8415385196.

Adding to 1042102032 its reverse (2302012401), we get a palindrome (3344114433).

The spelling of 1042102032 in words is "one billion, forty-two million, one hundred two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 163 184 276 326 368 489 552 652 978 1104 1304 1956 2608 3749 3912 5791 7498 7824 11247 11582 14996 17373 22494 23164 29992 34746 44988 46328 59984 69492 89976 92656 133193 138984 179952 266386 277968 399579 532772 799158 943933 1065544 1598316 1887866 2131088 2831799 3196632 3775732 5663598 6393264 7551464 11327196 15102928 21710459 22654392 43420918 45308784 65131377 86841836 130262754 173683672 260525508 347367344 521051016 1042102032