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1105403152 = 247247131229
BaseRepresentation
bin100000111100011…
…0001110100010000
32212001000022001111
41001320301310100
54230440400102
6301404343104
736251525500
oct10170616420
92761008044
101105403152
11517a75827
1226a244a94
13148023109
14a6b47a00
15670a1cd7
hex41e31d10

1105403152 has 120 divisors (see below), whose sum is σ = 2575013760. Its totient is φ = 458115840.

The previous prime is 1105403129. The next prime is 1105403153. The reversal of 1105403152 is 2513045011.

It is a happy number.

It is a super-2 number, since 2×11054031522 = 2443832256903070208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1105403153) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4826974 + ... + 4827202.

It is an arithmetic number, because the mean of its divisors is an integer number (21458448).

Almost surely, 21105403152 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 1105403152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287506880).

1105403152 is an abundant number, since it is smaller than the sum of its proper divisors (1469610608).

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

1105403152 is a wasteful number, since it uses less digits than its factorization.

1105403152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 1105403152 is about 33247.6037031242. The cubic root of 1105403152 is about 1033.9675272611.

Adding to 1105403152 its reverse (2513045011), we get a palindrome (3618448163).

The spelling of 1105403152 in words is "one billion, one hundred five million, four hundred three thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 47 49 56 94 98 112 131 188 196 229 262 329 376 392 458 524 658 752 784 916 917 1048 1316 1603 1832 1834 2096 2303 2632 3206 3664 3668 4606 5264 6157 6412 6419 7336 9212 10763 11221 12314 12824 12838 14672 18424 21526 22442 24628 25648 25676 29999 36848 43052 43099 44884 49256 51352 59998 75341 86104 86198 89768 98512 102704 119996 150682 172208 172396 179536 209993 239992 301364 301693 344792 419986 479984 527387 602728 603386 689584 839972 1054774 1205456 1206772 1409953 1469951 1679944 2109548 2413544 2819906 2939902 3359888 4219096 4827088 5639812 5879804 8438192 9869671 11279624 11759608 19739342 22559248 23519216 39478684 69087697 78957368 138175394 157914736 276350788 552701576 1105403152