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2058420 = 2235713229
BaseRepresentation
bin111110110100010110100
310212120121210
413312202310
51011332140
6112041420
723332140
oct7664264
93776553
102058420
111186581
12833270
13570c00
143b8220
152a9d80
hex1f68b4

2058420 has 144 divisors (see below), whose sum is σ = 7378560. Its totient is φ = 419328.

The previous prime is 2058409. The next prime is 2058439. The reversal of 2058420 is 248502.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 70966 + ... + 70994.

It is an arithmetic number, because the mean of its divisors is an integer number (51240).

22058420 is an apocalyptic number.

2058420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2058420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3689280).

2058420 is an abundant number, since it is smaller than the sum of its proper divisors (5320140).

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

2058420 is a wasteful number, since it uses less digits than its factorization.

2058420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 2058420 is about 1434.7194847774. The cubic root of 2058420 is about 127.2070938649.

The spelling of 2058420 in words is "two million, fifty-eight thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 29 30 35 39 42 52 58 60 65 70 78 84 87 91 105 116 130 140 145 156 169 174 182 195 203 210 260 273 290 338 348 364 377 390 406 420 435 455 507 546 580 609 676 754 780 812 845 870 910 1014 1015 1092 1131 1183 1218 1365 1508 1690 1740 1820 1885 2028 2030 2262 2366 2436 2535 2639 2730 3045 3380 3549 3770 4060 4524 4732 4901 5070 5278 5460 5655 5915 6090 7098 7540 7917 9802 10140 10556 11310 11830 12180 13195 14196 14703 15834 17745 19604 22620 23660 24505 26390 29406 31668 34307 35490 39585 49010 52780 58812 68614 70980 73515 79170 98020 102921 137228 147030 158340 171535 205842 294060 343070 411684 514605 686140 1029210 2058420