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1980000240 = 243537293761
BaseRepresentation
bin111011000000100…
…0110011111110000
312002222201102201020
41312001012133300
513023340001430
6524250135440
7100031503311
oct16601063760
95088642636
101980000240
11926727539
12473121580
1325729409a
1414ad70608
15b8c61b10
hex760467f0

1980000240 has 160 divisors (see below), whose sum is σ = 6333719616. Its totient is φ = 511303680.

The previous prime is 1980000229. The next prime is 1980000299. The reversal of 1980000240 is 420000891.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1980000240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2601460 + ... + 2602220.

Almost surely, 21980000240 is an apocalyptic number.

1980000240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1980000240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3166859808).

1980000240 is an abundant number, since it is smaller than the sum of its proper divisors (4353719376).

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

1980000240 is a wasteful number, since it uses less digits than its factorization.

1980000240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 1980000240 is about 44497.1936193733. The cubic root of 1980000240 is about 1255.7072863795.

The spelling of 1980000240 in words is "one billion, nine hundred eighty million, two hundred forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 240 293 296 370 444 555 586 592 740 761 879 888 1110 1172 1465 1480 1522 1758 1776 2220 2283 2344 2930 2960 3044 3516 3805 4395 4440 4566 4688 5860 6088 7032 7610 8790 8880 9132 10841 11415 11720 12176 14064 15220 17580 18264 21682 22830 23440 28157 30440 32523 35160 36528 43364 45660 54205 56314 60880 65046 70320 84471 86728 91320 108410 112628 130092 140785 162615 168942 173456 182640 216820 222973 225256 260184 281570 325230 337884 422355 433640 445946 450512 520368 563140 650460 668919 675768 844710 867280 891892 1114865 1126280 1300920 1337838 1351536 1689420 1783784 2229730 2252560 2601840 2675676 3344595 3378840 3567568 4459460 5351352 6689190 6757680 8250001 8918920 10702704 13378380 16500002 17837840 24750003 26756760 33000004 41250005 49500006 53513520 66000008 82500010 99000012 123750015 132000016 165000020 198000024 247500030 330000040 396000048 495000060 660000080 990000120 1980000240