Search a number
-
+
58640220 = 22335312113
BaseRepresentation
bin1101111110110…
…0011101011100
311002100020021000
43133230131130
5110002441340
65452510300
71311301512
oct337543534
9132306230
1058640220
11301122a1
121777b390
13c1c2072
147b064b2
155234d30
hex37ec75c

58640220 has 144 divisors (see below), whose sum is σ = 190179360. Its totient is φ = 14999040.

The previous prime is 58640201. The next prime is 58640273. The reversal of 58640220 is 2204685.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 518884 + ... + 518996.

It is an arithmetic number, because the mean of its divisors is an integer number (1320690).

Almost surely, 258640220 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 58640220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95089680).

58640220 is an abundant number, since it is smaller than the sum of its proper divisors (131539140).

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

58640220 is a wasteful number, since it uses less digits than its factorization.

58640220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 58640220 is about 7657.6902522889. The cubic root of 58640220 is about 388.5067156455.

The spelling of 58640220 in words is "fifty-eight million, six hundred forty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 31 36 45 54 60 62 90 93 108 113 124 135 155 180 186 226 270 279 310 339 372 452 465 540 558 565 620 678 837 930 961 1017 1116 1130 1356 1395 1674 1695 1860 1922 2034 2260 2790 2883 3051 3348 3390 3503 3844 4068 4185 4805 5085 5580 5766 6102 6780 7006 8370 8649 9610 10170 10509 11532 12204 14012 14415 15255 16740 17298 17515 19220 20340 21018 25947 28830 30510 31527 34596 35030 42036 43245 51894 52545 57660 61020 63054 70060 86490 94581 103788 105090 108593 126108 129735 157635 172980 189162 210180 217186 259470 315270 325779 378324 434372 472905 518940 542965 630540 651558 945810 977337 1085930 1303116 1628895 1891620 1954674 2171860 2932011 3257790 3909348 4886685 5864022 6515580 9773370 11728044 14660055 19546740 29320110 58640220