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1054996880 = 245717110819
BaseRepresentation
bin111110111000011…
…111100110010000
32201112011101122112
4332320133212100
54130034400010
6252404124452
735100216440
oct7670374620
92645141575
101054996880
114a1577853
12255396728
1313a754b12
14a0186120
1562946a05
hex3ee1f990

1054996880 has 80 divisors (see below), whose sum is σ = 2968202880. Its totient is φ = 340432896.

The previous prime is 1054996849. The next prime is 1054996883. The reversal of 1054996880 is 886994501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10549968802 = 2226036833619468800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1054996883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45890 + ... + 64929.

It is an arithmetic number, because the mean of its divisors is an integer number (37102536).

Almost surely, 21054996880 is an apocalyptic number.

1054996880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1054996880 is an abundant number, since it is smaller than the sum of its proper divisors (1913206000).

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

1054996880 is a wasteful number, since it uses less digits than its factorization.

1054996880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110856 (or 110850 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 50.

The square root of 1054996880 is about 32480.7155093603. The cubic root of 1054996880 is about 1018.0061267472.

The spelling of 1054996880 in words is "one billion, fifty-four million, nine hundred ninety-six thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 56 68 70 80 85 112 119 136 140 170 238 272 280 340 476 560 595 680 952 1190 1360 1904 2380 4760 9520 110819 221638 443276 554095 775733 886552 1108190 1551466 1773104 1883923 2216380 3102932 3767846 3878665 4432760 6205864 7535692 7757330 8865520 9419615 12411728 13187461 15071384 15514660 18839230 26374922 30142768 31029320 37678460 52749844 62058640 65937305 75356920 105499688 131874610 150713840 210999376 263749220 527498440 1054996880