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1090467940 = 225137397981
BaseRepresentation
bin100000011111111…
…0011100001100100
32210222220111210111
41000333303201210
54213124433230
6300112302404
736010552552
oct10077634144
92728814714
101090467940
1150a5a4781
12265241a04
13144bc4103
14a4b7abd2
1565b0192a
hex40ff3864

1090467940 has 24 divisors (see below), whose sum is σ = 2306703672. Its totient is φ = 433002240.

The previous prime is 1090467871. The next prime is 1090467943. The reversal of 1090467940 is 497640901.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 64931364 + 1025536576 = 8058^2 + 32024^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1090467893 and 1090467902.

It is not an unprimeable number, because it can be changed into a prime (1090467943) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 196251 + ... + 201730.

It is an arithmetic number, because the mean of its divisors is an integer number (96112653).

Almost surely, 21090467940 is an apocalyptic number.

1090467940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1090467940 is an abundant number, since it is smaller than the sum of its proper divisors (1216235732).

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

1090467940 is a wasteful number, since it uses less digits than its factorization.

1090467940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398127 (or 398125 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The square root of 1090467940 is about 33022.2340249717. The cubic root of 1090467940 is about 1029.2897167330.

The spelling of 1090467940 in words is "one billion, ninety million, four hundred sixty-seven thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 137 274 548 685 1370 2740 397981 795962 1591924 1989905 3979810 7959620 54523397 109046794 218093588 272616985 545233970 1090467940