Search a number
-
+
20999484240 = 2435761204913
BaseRepresentation
bin10011100011101010…
…101011001101010000
32000012111020022212120
4103203222223031100
5321001331443430
613351431454240
71342246446060
oct234352531520
960174208776
1020999484240
1189a6730359
1240a0827380
131c98794127
141032d3b3a0
1582d899610
hex4e3aab350

20999484240 has 160 divisors (see below), whose sum is σ = 75618183936. Its totient is φ = 4721172480.

The previous prime is 20999484223. The next prime is 20999484241. The reversal of 20999484240 is 4248499902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20999484241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24 + ... + 204936.

Almost surely, 220999484240 is an apocalyptic number.

20999484240 is a gapful number since it is divisible by the number (20) 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 20999484240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37809091968).

20999484240 is an abundant number, since it is smaller than the sum of its proper divisors (54618699696).

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

20999484240 is a wasteful number, since it uses less digits than its factorization.

20999484240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204997 (or 204991 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The spelling of 20999484240 in words is "twenty billion, nine hundred ninety-nine million, four hundred eighty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 61 70 80 84 105 112 120 122 140 168 183 210 240 244 280 305 336 366 420 427 488 560 610 732 840 854 915 976 1220 1281 1464 1680 1708 1830 2135 2440 2562 2928 3416 3660 4270 4880 5124 6405 6832 7320 8540 10248 12810 14640 17080 20496 25620 34160 51240 102480 204913 409826 614739 819652 1024565 1229478 1434391 1639304 2049130 2458956 2868782 3073695 3278608 4098260 4303173 4917912 5737564 6147390 7171955 8196520 8606346 9835824 11475128 12294780 12499693 14343910 16393040 17212692 21515865 22950256 24589560 24999386 28687820 34425384 37499079 43031730 49179120 49998772 57375640 62498465 68850768 74998158 86063460 87497851 99997544 114751280 124996930 149996316 172126920 174995702 187495395 199995088 249993860 262493553 299992632 344253840 349991404 374990790 437489255 499987720 524987106 599985264 699982808 749981580 874978510 999975440 1049974212 1312467765 1399965616 1499963160 1749957020 2099948424 2624935530 2999926320 3499914040 4199896848 5249871060 6999828080 10499742120 20999484240