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1054234720 = 25571185571
BaseRepresentation
bin111110110101100…
…101100001100000
32201110201200011101
4332311211201200
54124341002340
6252335524144
735060563420
oct7665454140
92643650141
101054234720
114a10a7170
12255089654
1313a548c36
14a0028480
1562845c9a
hex3ed65860

1054234720 has 96 divisors (see below), whose sum is σ = 3105236736. Its totient is φ = 328588800.

The previous prime is 1054234717. The next prime is 1054234721. The reversal of 1054234720 is 274324501.

1054234720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10542347202 = 2222821689706956800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1054234721) 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, 30466 + ... + 55105.

It is an arithmetic number, because the mean of its divisors is an integer number (32346216).

Almost surely, 21054234720 is an apocalyptic number.

1054234720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1054234720 is an abundant number, since it is smaller than the sum of its proper divisors (2051002016).

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

1054234720 is a wasteful number, since it uses less digits than its factorization.

1054234720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85604 (or 85596 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 1054234720 is about 32468.9808894582. The cubic root of 1054234720 is about 1017.7609220837.

The spelling of 1054234720 in words is "one billion, fifty-four million, two hundred thirty-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 70 77 80 88 110 112 140 154 160 176 220 224 280 308 352 385 440 560 616 770 880 1120 1232 1540 1760 2464 3080 6160 12320 85571 171142 342284 427855 598997 684568 855710 941281 1197994 1369136 1711420 1882562 2395988 2738272 2994985 3422840 3765124 4706405 4791976 5989970 6588967 6845680 7530248 9412810 9583952 11979940 13177934 13691360 15060496 18825620 19167904 23959880 26355868 30120992 32944835 37651240 47919760 52711736 65889670 75302480 95839520 105423472 131779340 150604960 210846944 263558680 527117360 1054234720