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1057104720 = 243257209743
BaseRepresentation
bin111111000000100…
…010001101010000
32201200010111001200
4333000202031100
54131104322340
6252521231200
735124145650
oct7700421520
92650114050
101057104720
114a2787471
12256032500
1313b012369
14a0574360
1562c11330
hex3f022350

1057104720 has 120 divisors (see below), whose sum is σ = 4057287936. Its totient is φ = 241622784.

The previous prime is 1057104703. The next prime is 1057104721. The reversal of 1057104720 is 274017501.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×10571047202 = 2234940778092556800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057104721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99832 + ... + 109911.

Almost surely, 21057104720 is an apocalyptic number.

1057104720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1057104720 is an abundant number, since it is smaller than the sum of its proper divisors (3000183216).

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

1057104720 is a wasteful number, since it uses less digits than its factorization.

1057104720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209769 (or 209760 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 1057104720 is about 32513.1468793779. The cubic root of 1057104720 is about 1018.6836537269.

The spelling of 1057104720 in words is "one billion, fifty-seven million, one hundred four thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 209743 419486 629229 838972 1048715 1258458 1468201 1677944 1887687 2097430 2516916 2936402 3146145 3355888 3775374 4194860 4404603 5033832 5872804 6292290 7341005 7550748 8389720 8809206 9438435 10067664 11745608 12584580 13213809 14682010 15101496 16779440 17618412 18876870 22023015 23491216 25169160 26427618 29364020 30202992 35236824 37753740 44046030 50338320 52855236 58728040 66069045 70473648 75507480 88092060 105710472 117456080 132138090 151014960 176184120 211420944 264276180 352368240 528552360 1057104720