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1103247072 = 2532231511103
BaseRepresentation
bin100000111000010…
…0011011011100000
32211212221202110200
41001300203123200
54224412401242
6301250225200
736224305524
oct10160433340
92755852420
101103247072
11516832944
12269585200
13147749925
14a6745d84
1566cc804c
hex41c236e0

1103247072 has 144 divisors (see below), whose sum is σ = 3298434048. Its totient is φ = 349113600.

The previous prime is 1103247071. The next prime is 1103247109. The reversal of 1103247072 is 2707423011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1103247071) 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, 999673 + ... + 1000775.

It is an arithmetic number, because the mean of its divisors is an integer number (22905792).

Almost surely, 21103247072 is an apocalyptic number.

1103247072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1103247072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1649217024).

1103247072 is an abundant number, since it is smaller than the sum of its proper divisors (2195186976).

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

1103247072 is a wasteful number, since it uses less digits than its factorization.

1103247072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1293 (or 1282 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 1103247072 is about 33215.1632842592. The cubic root of 1103247072 is about 1033.2948412532.

The spelling of 1103247072 in words is "one billion, one hundred three million, two hundred forty-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 151 184 207 276 288 302 368 414 453 552 604 736 828 906 1103 1104 1208 1359 1656 1812 2206 2208 2416 2718 3309 3312 3473 3624 4412 4832 5436 6618 6624 6946 7248 8824 9927 10419 10872 13236 13892 14496 17648 19854 20838 21744 25369 26472 27784 31257 35296 39708 41676 43488 50738 52944 55568 62514 76107 79416 83352 101476 105888 111136 125028 152214 158832 166553 166704 202952 228321 250056 304428 317664 333106 333408 405904 456642 499659 500112 608856 666212 811808 913284 999318 1000224 1217712 1332424 1498977 1826568 1998636 2435424 2664848 2997954 3653136 3830719 3997272 5329696 5995908 7306272 7661438 7994544 11492157 11991816 15322876 15989088 22984314 23983632 30645752 34476471 45968628 47967264 61291504 68952942 91937256 122583008 137905884 183874512 275811768 367749024 551623536 1103247072