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1383103680 = 263571712107
BaseRepresentation
bin101001001110000…
…0111110011000000
310120101112221120020
41102130013303000
510313033304210
6345124413440
746163121150
oct12234076300
93511487506
101383103680
1164a7a92a2
12327247280
13190713c5a
14d1994760
1581658770
hex52707cc0

1383103680 has 224 divisors, whose sum is σ = 5314346496. Its totient is φ = 297517056.

The previous prime is 1383103679. The next prime is 1383103681. The reversal of 1383103680 is 863013831.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1383103679) and next prime (1383103681).

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (1383103681) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 108187 + ... + 120293.

Almost surely, 21383103680 is an apocalyptic number.

1383103680 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 1383103680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2657173248).

1383103680 is an abundant number, since it is smaller than the sum of its proper divisors (3931242816).

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

1383103680 is a wasteful number, since it uses less digits than its factorization.

1383103680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12151 (or 12141 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 1383103680 is about 37190.1019089757. The cubic root of 1383103680 is about 1114.1703038166.

The spelling of 1383103680 in words is "one billion, three hundred eighty-three million, one hundred three thousand, six hundred eighty".