Search a number
-
+
4023978420 = 2235711279181
BaseRepresentation
bin1110111111011001…
…0000100110110100
3101101102211021122210
43233312100212310
531220114302140
61503143453420
7201501152340
oct35766204664
911342737583
104023978420
111785481600
12943757270
134c1898927
142a25d6620
1518840ed80
hexefd909b4

4023978420 has 144 divisors (see below), whose sum is σ = 14153940864. Its totient is φ = 836140800.

The previous prime is 4023978419. The next prime is 4023978437. The reversal of 4023978420 is 248793204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11230 + ... + 90410.

It is an arithmetic number, because the mean of its divisors is an integer number (98291256).

Almost surely, 24023978420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4023978420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7076970432).

4023978420 is an abundant number, since it is smaller than the sum of its proper divisors (10129962444).

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

4023978420 is a wasteful number, since it uses less digits than its factorization.

4023978420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79222 (or 79209 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 4023978420 is about 63434.8360130299. The cubic root of 4023978420 is about 1590.5666822296.

The spelling of 4023978420 in words is "four billion, twenty-three million, nine hundred seventy-eight thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 55 60 66 70 77 84 105 110 121 132 140 154 165 210 220 231 242 308 330 363 385 420 462 484 605 660 726 770 847 924 1155 1210 1452 1540 1694 1815 2310 2420 2541 3388 3630 4235 4620 5082 7260 8470 10164 12705 16940 25410 50820 79181 158362 237543 316724 395905 475086 554267 791810 870991 950172 1108534 1187715 1583620 1662801 1741982 2217068 2375430 2612973 2771335 3325602 3483964 4354955 4750860 5225946 5542670 6096937 6651204 8314005 8709910 9580901 10451892 11085340 12193874 13064865 16628010 17419820 18290811 19161802 24387748 26129730 28742703 30484685 33256020 36581622 38323604 47904505 52259460 57485406 60969370 67066307 73163244 91454055 95809010 114970812 121938740 134132614 143713515 182908110 191618020 201198921 268265228 287427030 335331535 365816220 402397842 574854060 670663070 804795684 1005994605 1341326140 2011989210 4023978420