Search a number
-
+
1105253504 = 271747101107
BaseRepresentation
bin100000111100000…
…1101010010000000
32212000201200202222
41001320031102000
54230421103004
6301401230212
736250333265
oct10170152200
92760650688
101105253504
11517983353
1226a192368
13147c9cc74
14a6b0926c
15670727be
hex41e0d480

1105253504 has 128 divisors (see below), whose sum is σ = 2427045120. Its totient is φ = 499302400.

The previous prime is 1105253497. The next prime is 1105253519. The reversal of 1105253504 is 4053525011.

It is a tau number, because it is divible by the number of its divisors (128).

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, 10329419 + ... + 10329525.

It is an arithmetic number, because the mean of its divisors is an integer number (18961290).

Almost surely, 21105253504 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 1105253504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1213522560).

1105253504 is an abundant number, since it is smaller than the sum of its proper divisors (1321791616).

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

1105253504 is a wasteful number, since it uses less digits than its factorization.

1105253504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 26.

The square root of 1105253504 is about 33245.3531188947. The cubic root of 1105253504 is about 1033.9208661085.

Adding to 1105253504 its reverse (4053525011), we get a palindrome (5158778515).

The spelling of 1105253504 in words is "one billion, one hundred five million, two hundred fifty-three thousand, five hundred four".

Divisors: 1 2 4 8 16 17 32 34 47 64 68 94 101 107 128 136 188 202 214 272 376 404 428 544 752 799 808 856 1088 1504 1598 1616 1712 1717 1819 2176 3008 3196 3232 3424 3434 3638 4747 5029 6016 6392 6464 6848 6868 7276 9494 10058 10807 12784 12928 13696 13736 14552 18988 20116 21614 25568 27472 29104 37976 40232 43228 51136 54944 58208 75952 80464 80699 85493 86456 102272 109888 116416 151904 160928 161398 170986 172912 183719 219776 232832 303808 321856 322796 341972 345824 367438 507929 607616 643712 645592 683944 691648 734876 1015858 1291184 1367888 1383296 1469752 2031716 2582368 2735776 2939504 4063432 5164736 5471552 5879008 8126864 8634793 10329472 10943104 11758016 16253728 17269586 23516032 32507456 34539172 65014912 69078344 138156688 276313376 552626752 1105253504