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4024002020 = 2251921513691
BaseRepresentation
bin1110111111011001…
…0110010111100100
3101101102212111000212
43233312112113210
531220121031040
61503144154552
7201501311213
oct35766262744
911342774025
104024002020
111785498305
12943768a58
134c18a65ac
142a260107a
15188416d65
hexefd965e4

4024002020 has 72 divisors (see below), whose sum is σ = 8980066368. Its totient is φ = 1514376000.

The previous prime is 4024001953. The next prime is 4024002079. The reversal of 4024002020 is 202004204.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4024001986 and 4024002004.

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, 1088375 + ... + 1092065.

It is an arithmetic number, because the mean of its divisors is an integer number (124723144).

Almost surely, 24024002020 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 4024002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4490033184).

4024002020 is an abundant number, since it is smaller than the sum of its proper divisors (4956064348).

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

4024002020 is a wasteful number, since it uses less digits than its factorization.

4024002020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3889 (or 3868 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 4024002020 is about 63435.0220304210. The cubic root of 4024002020 is about 1590.5697916979.

Adding to 4024002020 its reverse (202004204), we get a palindrome (4226006224).

The spelling of 4024002020 in words is "four billion, twenty-four million, two thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 151 190 302 361 380 604 722 755 1444 1510 1805 2869 3020 3610 3691 5738 7220 7382 11476 14345 14764 18455 28690 36910 54511 57380 70129 73820 109022 140258 218044 272555 280516 350645 545110 557341 701290 1090220 1114682 1332451 1402580 2229364 2664902 2786705 5329804 5573410 6662255 10589479 11146820 13324510 21178958 26649020 42357916 52947395 105894790 201200101 211789580 402400202 804800404 1006000505 2012001010 4024002020