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1103742720 = 28335109293
BaseRepresentation
bin100000111001001…
…1100011100000000
32211220212221101000
41001302130130000
54230024231340
6301305012000
736231441543
oct10162343400
92756787330
101103742720
11517041273
12269784000
13147891402
14a683485a
1566d74d30
hex41c9c700

1103742720 has 288 divisors, whose sum is σ = 3966177600. Its totient is φ = 290635776.

The previous prime is 1103742719. The next prime is 1103742721. The reversal of 1103742720 is 272473011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1103742719) and next prime (1103742721).

It is a tau number, because it is divible by the number of its divisors (288).

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 (1103742721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3766894 + ... + 3767186.

It is an arithmetic number, because the mean of its divisors is an integer number (13771450).

Almost surely, 21103742720 is an apocalyptic number.

1103742720 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 1103742720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1983088800).

1103742720 is an abundant number, since it is smaller than the sum of its proper divisors (2862434880).

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

1103742720 is a wasteful number, since it uses less digits than its factorization.

1103742720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 412 counting only the distinct ones).

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

The square root of 1103742720 is about 33222.6236170475. The cubic root of 1103742720 is about 1033.4495584381.

The spelling of 1103742720 in words is "one billion, one hundred three million, seven hundred forty-two thousand, seven hundred twenty".