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1103664140 = 225174577103
BaseRepresentation
bin100000111001000…
…1001010000001100
32211220201221120122
41001302021100030
54230014223030
6301303204112
736230663465
oct10162112014
92756657518
101103664140
11516a98227
12269746638
13147864707
14a6813d6c
1566d5b8e5
hex41c8940c

1103664140 has 48 divisors (see below), whose sum is σ = 2459745792. Its totient is φ = 414529536.

The previous prime is 1103664113. The next prime is 1103664143. The reversal of 1103664140 is 414663011.

It is not an unprimeable number, because it can be changed into a prime (1103664143) 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, 151829 + ... + 158931.

It is an arithmetic number, because the mean of its divisors is an integer number (51244704).

Almost surely, 21103664140 is an apocalyptic number.

1103664140 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 1103664140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1229872896).

1103664140 is an abundant number, since it is smaller than the sum of its proper divisors (1356081652).

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

1103664140 is a wasteful number, since it uses less digits than its factorization.

1103664140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7586 (or 7584 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 1103664140 is about 33221.4409681459. The cubic root of 1103664140 is about 1033.4250326762.

The spelling of 1103664140 in words is "one billion, one hundred three million, six hundred sixty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 457 914 1828 2285 4570 7103 7769 9140 14206 15538 28412 31076 35515 38845 71030 77690 120751 142060 155380 241502 483004 603755 1207510 2415020 3246071 6492142 12984284 16230355 32460710 55183207 64921420 110366414 220732828 275916035 551832070 1103664140