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1103264140 = 2251121123767
BaseRepresentation
bin100000111000010…
…0111100110001100
32211212222121212211
41001300213212030
54224413423030
6301250440204
736224406346
oct10160474614
92755877784
101103264140
11516844750
12269593064
13147754624
14a674c296
1566ccd12a
hex41c2798c

1103264140 has 48 divisors (see below), whose sum is σ = 2539563264. Its totient is φ = 399268800.

The previous prime is 1103264119. The next prime is 1103264171. The reversal of 1103264140 is 414623011.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34537 + ... + 58303.

It is an arithmetic number, because the mean of its divisors is an integer number (52907568).

Almost surely, 21103264140 is an apocalyptic number.

1103264140 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 1103264140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1269781632).

1103264140 is an abundant number, since it is smaller than the sum of its proper divisors (1436299124).

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

1103264140 is a wasteful number, since it uses less digits than its factorization.

1103264140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23998 (or 23996 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 1103264140 is about 33215.4202141114. The cubic root of 1103264140 is about 1033.3001698225.

Adding to 1103264140 its reverse (414623011), we get a palindrome (1517887151).

The spelling of 1103264140 in words is "one billion, one hundred three million, two hundred sixty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 211 220 422 844 1055 2110 2321 4220 4642 9284 11605 23210 23767 46420 47534 95068 118835 237670 261437 475340 522874 1045748 1307185 2614370 5014837 5228740 10029674 20059348 25074185 50148370 55163207 100296740 110326414 220652828 275816035 551632070 1103264140