[go: up one dir, main page]

Search a number
-
+
1374629776 = 24132232312
BaseRepresentation
bin101000111101111…
…0010111110010000
310112210121102112221
41101323302332100
510303401123101
6344223030424
746031105662
oct12173627620
93483542487
101374629776
11645a40773
1232443b414
1318ba37c00
14d07ca532
1580a32aa1
hex51ef2f90

1374629776 has 135 divisors (see below), whose sum is σ = 3115208817. Its totient is φ = 587283840.

The previous prime is 1374629723. The next prime is 1374629791. The reversal of 1374629776 is 6779264731.

The square root of 1374629776 is 37076.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 203347600 + 1171282176 = 14260^2 + 34224^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 44342881 + ... + 44342911.

Almost surely, 21374629776 is an apocalyptic number.

1374629776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1374629776 is the 37076-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1374629776

1374629776 is an abundant number, since it is smaller than the sum of its proper divisors (1740579041).

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

1374629776 is a wasteful number, since it uses less digits than its factorization.

1374629776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 69 counting only the distinct ones).

The product of its digits is 2667168, while the sum is 52.

The cubic root of 1374629776 is about 1111.8902338041.

The spelling of 1374629776 in words is "one billion, three hundred seventy-four million, six hundred twenty-nine thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 13 16 23 26 31 46 52 62 92 104 124 169 184 208 248 299 338 368 403 496 529 598 676 713 806 961 1058 1196 1352 1426 1612 1922 2116 2392 2704 2852 3224 3844 3887 4232 4784 5239 5704 6448 6877 7688 7774 8464 9269 10478 11408 12493 13754 15376 15548 16399 18538 20956 22103 24986 27508 31096 32798 37076 41912 44206 49972 55016 62192 65596 74152 83824 88412 89401 99944 110032 120497 131192 148304 162409 176824 178802 199888 213187 240994 262384 287339 324818 353648 357604 426374 481988 508369 574678 649636 715208 852748 963976 1016738 1149356 1299272 1430416 1705496 1927952 2033476 2298712 2598544 2771431 3410992 3735407 4066952 4597424 5542862 6608797 7470814 8133904 11085724 13217594 14941628 22171448 26435188 29883256 44342896 52870376 59766512 85914361 105740752 171828722 343657444 687314888 1374629776