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1103453040 = 24357958199
BaseRepresentation
bin100000111000101…
…0101101101110000
32211220100020000010
41001301111231300
54224440444130
6301254454520
736226124154
oct10161255560
92756306003
101103453040
11516963668
12269664440
131477bc5c1
14a679b064
1566d190b0
hex41c55b70

1103453040 has 80 divisors (see below), whose sum is σ = 3464064000. Its totient is φ = 290524416.

The previous prime is 1103453033. The next prime is 1103453041. The reversal of 1103453040 is 403543011.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×11034530402 = 2435217222970483200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1103452998 and 1103453016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1103453041) 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, 10140 + ... + 48059.

It is an arithmetic number, because the mean of its divisors is an integer number (43300800).

Almost surely, 21103453040 is an apocalyptic number.

1103453040 is a gapful number since it is divisible by the number (10) 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 1103453040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1732032000).

1103453040 is an abundant number, since it is smaller than the sum of its proper divisors (2360610960).

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

1103453040 is a wasteful number, since it uses less digits than its factorization.

1103453040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58294 (or 58288 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 1103453040 is about 33218.2636511904. The cubic root of 1103453040 is about 1033.3591400654.

Adding to 1103453040 its reverse (403543011), we get a palindrome (1506996051).

The spelling of 1103453040 in words is "one billion, one hundred three million, four hundred fifty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 79 80 120 158 237 240 316 395 474 632 790 948 1185 1264 1580 1896 2370 3160 3792 4740 6320 9480 18960 58199 116398 174597 232796 290995 349194 465592 581990 698388 872985 931184 1163980 1396776 1745970 2327960 2793552 3491940 4597721 4655920 6983880 9195442 13793163 13967760 18390884 22988605 27586326 36781768 45977210 55172652 68965815 73563536 91954420 110345304 137931630 183908840 220690608 275863260 367817680 551726520 1103453040