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2134421520 = 2435711115499
BaseRepresentation
bin111111100111000…
…1011000000010000
312111202021211212220
41333032023000100
513332402442040
6551444021040
7103615166160
oct17716130020
95452254786
102134421520
119a5909530
124b6991780
1328028051a
1416368a5a0
15c75b62d0
hex7f38b010

2134421520 has 160 divisors (see below), whose sum is σ = 8249472000. Its totient is φ = 443512320.

The previous prime is 2134421507. The next prime is 2134421521. The reversal of 2134421520 is 251244312.

It is a super-2 number, since 2×21344215202 = 9111510450078220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2134421521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39270 + ... + 76229.

It is an arithmetic number, because the mean of its divisors is an integer number (51559200).

Almost surely, 22134421520 is an apocalyptic number.

2134421520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2134421520 is an abundant number, since it is smaller than the sum of its proper divisors (6115050480).

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

2134421520 is a wasteful number, since it uses less digits than its factorization.

2134421520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115533 (or 115527 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2134421520 is about 46199.7999995671. The cubic root of 2134421520 is about 1287.5380240757.

Adding to 2134421520 its reverse (251244312), we get a palindrome (2385665832).

The spelling of 2134421520 in words is "two billion, one hundred thirty-four million, four hundred twenty-one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 28 30 33 35 40 42 44 48 55 56 60 66 70 77 80 84 88 105 110 112 120 132 140 154 165 168 176 210 220 231 240 264 280 308 330 336 385 420 440 462 528 560 616 660 770 840 880 924 1155 1232 1320 1540 1680 1848 2310 2640 3080 3696 4620 6160 9240 18480 115499 230998 346497 461996 577495 692994 808493 923992 1154990 1270489 1385988 1616986 1732485 1847984 2309980 2425479 2540978 2771976 3233972 3464970 3811467 4042465 4619960 4850958 5081956 5543952 6352445 6467944 6929940 7622934 8084930 8893423 9239920 9701916 10163912 12127395 12704890 12935888 13859880 15245868 16169860 17786846 19057335 19403832 20327824 24254790 25409780 26680269 27719760 30491736 32339720 35573692 38114670 38807664 44467115 48509580 50819560 53360538 60983472 64679440 71147384 76229340 88934230 97019160 101639120 106721076 133401345 142294768 152458680 177868460 194038320 213442152 266802690 304917360 355736920 426884304 533605380 711473840 1067210760 2134421520