Search a number
-
+
5637840420 = 22353123313009
BaseRepresentation
bin1010100000000101…
…01001111000100100
3112112220120222010110
411100002221320210
543021241343140
62331234253020
7256465565352
oct52002517044
915486528113
105637840420
112433460a53
121114127170
136bb046064
143b6a987d2
1522ee4b380
hex1500a9e24

5637840420 has 96 divisors (see below), whose sum is σ = 16366371840. Its totient is φ = 1448570880.

The previous prime is 5637840401. The next prime is 5637840427. The reversal of 5637840420 is 240487365.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (5637840427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 426876 + ... + 439884.

It is an arithmetic number, because the mean of its divisors is an integer number (170483040).

Almost surely, 25637840420 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 5637840420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8183185920).

5637840420 is an abundant number, since it is smaller than the sum of its proper divisors (10728531420).

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

5637840420 is a wasteful number, since it uses less digits than its factorization.

5637840420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13285 (or 13283 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 5637840420 is about 75085.5540034167. The cubic root of 5637840420 is about 1779.7988684072.

The spelling of 5637840420 in words is "five billion, six hundred thirty-seven million, eight hundred forty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 233 310 372 465 466 620 699 930 932 1165 1398 1860 2330 2796 3495 4660 6990 7223 13009 13980 14446 21669 26018 28892 36115 39027 43338 52036 65045 72230 78054 86676 108345 130090 144460 156108 195135 216690 260180 390270 403279 433380 780540 806558 1209837 1613116 2016395 2419674 3031097 4032790 4839348 6049185 6062194 8065580 9093291 12098370 12124388 15155485 18186582 24196740 30310970 36373164 45466455 60621940 90932910 93964007 181865820 187928014 281892021 375856028 469820035 563784042 939640070 1127568084 1409460105 1879280140 2818920210 5637840420