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1042140960 = 253257103387
BaseRepresentation
bin111110000111011…
…100111100100000
32200121222020122100
4332013130330200
54113242002320
6251224410400
734553023560
oct7607347440
92617866570
101042140960
11495296a23
12251016a00
13137ba3373
149c59ada0
1561757790
hex3e1dcf20

1042140960 has 144 divisors (see below), whose sum is σ = 4064389056. Its totient is φ = 238201344.

The previous prime is 1042140947. The next prime is 1042140977. The reversal of 1042140960 is 690412401.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41614 + ... + 61773.

It is an arithmetic number, because the mean of its divisors is an integer number (28224924).

Almost surely, 21042140960 is an apocalyptic number.

1042140960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1042140960 is an abundant number, since it is smaller than the sum of its proper divisors (3022248096).

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

1042140960 is a wasteful number, since it uses less digits than its factorization.

1042140960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103415 (or 103404 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1042140960 is about 32282.2081029164. The cubic root of 1042140960 is about 1013.8541624697.

The spelling of 1042140960 in words is "one billion, forty-two million, one hundred forty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 5040 10080 103387 206774 310161 413548 516935 620322 723709 827096 930483 1033870 1240644 1447418 1550805 1654192 1860966 2067740 2171127 2481288 2894836 3101610 3308384 3618545 3721932 4135480 4342254 4652415 4962576 5789672 6203220 6513381 7237090 7443864 8270960 8684508 9304830 9925152 10855635 11579344 12406440 13026762 14474180 14887728 16541920 17369016 18609660 21711270 23158688 24812880 26053524 28948360 29775456 32566905 34738032 37219320 43422540 49625760 52107048 57896720 65133810 69476064 74438640 86845080 104214096 115793440 130267620 148877280 173690160 208428192 260535240 347380320 521070480 1042140960