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4087471220 = 2257223414423
BaseRepresentation
bin1111001110100001…
…1101110001110100
3101112212022001101222
43303220131301310
531332343034340
61513332405512
7203201634500
oct36350356164
911485261358
104087471220
1118082a8698
12960a76898
13501a99631
142aac03300
1518dca28b5
hexf3a1dc74

4087471220 has 144 divisors (see below), whose sum is σ = 10675784448. Its totient is φ = 1307496960.

The previous prime is 4087471217. The next prime is 4087471259. The reversal of 4087471220 is 221747804.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

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, 921929 + ... + 926351.

It is an arithmetic number, because the mean of its divisors is an integer number (74137392).

Almost surely, 24087471220 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 4087471220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5337892224).

4087471220 is an abundant number, since it is smaller than the sum of its proper divisors (6588313228).

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

4087471220 is a wasteful number, since it uses less digits than its factorization.

4087471220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4510 (or 4501 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 35.

The square root of 4087471220 is about 63933.3341849148. The cubic root of 4087471220 is about 1598.8887100963. Note that the first 3 decimals are identical.

The spelling of 4087471220 in words is "four billion, eighty-seven million, four hundred seventy-one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 41 46 49 70 82 92 98 115 140 161 164 196 205 230 245 287 322 410 460 490 574 644 805 820 943 980 1127 1148 1435 1610 1886 2009 2254 2870 3220 3772 4018 4423 4508 4715 5635 5740 6601 8036 8846 9430 10045 11270 13202 17692 18860 20090 22115 22540 26404 30961 33005 40180 44230 46207 61922 66010 88460 92414 101729 123844 132020 154805 181343 184828 203458 216727 231035 309610 362686 406916 433454 462070 508645 619220 712103 725372 866908 906715 924140 1017290 1083635 1269401 1424206 1813430 2034580 2167270 2538802 2848412 3560515 3626860 4170889 4334540 4984721 5077604 6347005 7121030 8341778 8885807 9969442 12694010 14242060 16683556 17771614 19938884 20854445 24923605 25388020 29196223 35543228 41708890 44429035 49847210 58392446 83417780 88858070 99694420 116784892 145981115 177716140 204373561 291962230 408747122 583924460 817494244 1021867805 2043735610 4087471220