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1103242464 = 25335772213
BaseRepresentation
bin100000111000010…
…0010010011100000
32211212221112011000
41001300202103200
54224412224324
6301250152000
736224256222
oct10160422340
92755845130
101103242464
1151682a435
12269582600
131477477bc
14a6744412
1566cc69c9
hex41c224e0

1103242464 has 96 divisors (see below), whose sum is σ = 3224823840. Its totient is φ = 366944256.

The previous prime is 1103242463. The next prime is 1103242499. The reversal of 1103242464 is 4642423011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1103242463) 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, 497422 + ... + 499634.

It is an arithmetic number, because the mean of its divisors is an integer number (33591915).

Almost surely, 21103242464 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 1103242464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1612411920).

1103242464 is an abundant number, since it is smaller than the sum of its proper divisors (2121581376).

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

1103242464 is a wasteful number, since it uses less digits than its factorization.

1103242464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2809 (or 2795 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 1103242464 is about 33215.0939182776. The cubic root of 1103242464 is about 1033.2934026424.

Adding to 1103242464 its reverse (4642423011), we get a palindrome (5745665475).

The spelling of 1103242464 in words is "one billion, one hundred three million, two hundred forty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 577 864 1154 1731 2213 2308 3462 4426 4616 5193 6639 6924 8852 9232 10386 13278 13848 15579 17704 18464 19917 20772 26556 27696 31158 35408 39834 41544 53112 55392 59751 62316 70816 79668 83088 106224 119502 124632 159336 166176 212448 239004 249264 318672 478008 498528 637344 956016 1276901 1912032 2553802 3830703 5107604 7661406 10215208 11492109 15322812 20430416 22984218 30645624 34476327 40860832 45968436 61291248 68952654 91936872 122582496 137905308 183873744 275810616 367747488 551621232 1103242464