Search a number
-
+
1374410048 = 26113171887
BaseRepresentation
bin101000111101011…
…1101010101000000
310112210012021010212
41101322331111000
510303322110143
6344214213252
746026202244
oct12172752500
93483167125
101374410048
11645900680
12324354228
1318b98bbab
14d0770424
15809dc918
hex51ebd540

1374410048 has 112 divisors (see below), whose sum is σ = 3118030848. Its totient is φ = 595392000.

The previous prime is 1374410047. The next prime is 1374410083. The reversal of 1374410048 is 8400144731.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 1374409996 and 1374410023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1374410041) 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, 1549061 + ... + 1549947.

Almost surely, 21374410048 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 1374410048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1559015424).

1374410048 is an abundant number, since it is smaller than the sum of its proper divisors (1743620800).

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

1374410048 is a wasteful number, since it uses less digits than its factorization.

1374410048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 1374410048 is about 37073.0366708744. The cubic root of 1374410048 is about 1111.8309872006.

Adding to 1374410048 its reverse (8400144731), we get a palindrome (9774554779).

The spelling of 1374410048 in words is "one billion, three hundred seventy-four million, four hundred ten thousand, forty-eight".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 71 88 124 142 176 248 284 341 352 496 568 682 704 781 887 992 1136 1364 1562 1774 1984 2201 2272 2728 3124 3548 4402 4544 5456 6248 7096 8804 9757 10912 12496 14192 17608 19514 21824 24211 24992 27497 28384 35216 39028 48422 49984 54994 56768 62977 70432 78056 96844 109988 125954 140864 156112 193688 219976 251908 302467 312224 387376 439952 503816 604934 624448 692747 774752 879904 1007632 1209868 1385494 1549504 1759808 1952287 2015264 2419736 2770988 3904574 4030528 4839472 5541976 7809148 9678944 11083952 15618296 19357888 21475157 22167904 31236592 42950314 44335808 62473184 85900628 124946368 171801256 343602512 687205024 1374410048