Search a number
-
+
58062420 = 2235513919
BaseRepresentation
bin1101110101111…
…1011001010100
311001020212200000
43131133121110
5104330444140
65432251300
71303344123
oct335373124
9131225600
1058062420
112a858179
1217540b30
13c04c080
1479d5aba
15516da30
hex375f654

58062420 has 144 divisors (see below), whose sum is σ = 196909440. Its totient is φ = 14276736.

The previous prime is 58062413. The next prime is 58062449. The reversal of 58062420 is 2426085.

58062420 is a `hidden beast` number, since 580 + 62 + 4 + 20 = 666.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62721 + ... + 63639.

Almost surely, 258062420 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 58062420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98454720).

58062420 is an abundant number, since it is smaller than the sum of its proper divisors (138847020).

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

58062420 is a wasteful number, since it uses less digits than its factorization.

58062420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956 (or 942 counting only the distinct ones).

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

The square root of 58062420 is about 7619.8700776326. The cubic root of 58062420 is about 387.2264764156.

It can be divided in two parts, 580624 and 20, that added together give a square (580644 = 7622).

The spelling of 58062420 in words is "fifty-eight million, sixty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 81 90 108 117 130 135 156 162 180 195 234 243 260 270 324 351 390 405 468 486 540 585 702 780 810 919 972 1053 1170 1215 1404 1620 1755 1838 2106 2340 2430 2757 3159 3510 3676 4212 4595 4860 5265 5514 6318 7020 8271 9190 10530 11028 11947 12636 13785 15795 16542 18380 21060 23894 24813 27570 31590 33084 35841 41355 47788 49626 55140 59735 63180 71682 74439 82710 99252 107523 119470 124065 143364 148878 165420 179205 215046 223317 238940 248130 297756 322569 358410 372195 430092 446634 496260 537615 645138 716820 744390 893268 967707 1075230 1116585 1290276 1488780 1612845 1935414 2150460 2233170 2903121 3225690 3870828 4466340 4838535 5806242 6451380 9677070 11612484 14515605 19354140 29031210 58062420