Search a number
-
+
1072400076 = 2232117337097
BaseRepresentation
bin111111111010111…
…000011011001100
32202201220120100100
4333322320123030
54144013300301
6254225131100
735401151556
oct7772703314
92681816310
101072400076
11500384060
1225b189a90
13141239277
14a25d64d6
1564233286
hex3feb86cc

1072400076 has 72 divisors (see below), whose sum is σ = 2997815184. Its totient is φ = 320509440.

The previous prime is 1072400027. The next prime is 1072400101. The reversal of 1072400076 is 6700042701.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10360 + ... + 47456.

It is an arithmetic number, because the mean of its divisors is an integer number (41636322).

Almost surely, 21072400076 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 1072400076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1498907592).

1072400076 is an abundant number, since it is smaller than the sum of its proper divisors (1925415108).

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

1072400076 is a wasteful number, since it uses less digits than its factorization.

1072400076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37191 (or 37186 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 1072400076 is about 32747.5201503870. The cubic root of 1072400076 is about 1023.5732920103.

Adding to 1072400076 its reverse (6700042701), we get a palindrome (7772442777).

The spelling of 1072400076 in words is "one billion, seventy-two million, four hundred thousand, seventy-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 73 99 132 146 198 219 292 396 438 657 803 876 1314 1606 2409 2628 3212 4818 7227 9636 14454 28908 37097 74194 111291 148388 222582 333873 408067 445164 667746 816134 1224201 1335492 1632268 2448402 2708081 3672603 4896804 5416162 7345206 8124243 10832324 14690412 16248486 24372729 29788891 32496972 48745458 59577782 89366673 97490916 119155564 178733346 268100019 357466692 536200038 1072400076