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2010420 = 223451773
BaseRepresentation
bin111101010110100110100
310210010210000
413222310310
51003313140
6111031300
723042166
oct7526464
93703700
102010420
111153505
1280b530
135550c9
143a4936
1529aa30
hex1ead34

2010420 has 120 divisors (see below), whose sum is σ = 6769224. Its totient is φ = 497664.

The previous prime is 2010413. The next prime is 2010431. The reversal of 2010420 is 240102.

It can be written as a sum of positive squares in 4 ways, for example, as 467856 + 1542564 = 684^2 + 1242^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 27504 + ... + 27576.

22010420 is an apocalyptic number.

2010420 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 2010420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3384612).

2010420 is an abundant number, since it is smaller than the sum of its proper divisors (4758804).

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

2010420 is a wasteful number, since it uses less digits than its factorization.

2010420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2010420 is about 1417.8928027182. The cubic root of 2010420 is about 126.2105323810.

Adding to 2010420 its reverse (240102), we get a palindrome (2250522).

It can be divided in two parts, 20 and 10420, that added together give a triangular number (10440 = T144).

The spelling of 2010420 in words is "two million, ten thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 73 81 85 90 102 108 135 146 153 162 170 180 204 219 255 270 292 306 324 340 365 405 438 459 510 540 612 657 730 765 810 876 918 1020 1095 1241 1314 1377 1460 1530 1620 1836 1971 2190 2295 2482 2628 2754 3060 3285 3723 3942 4380 4590 4964 5508 5913 6205 6570 6885 7446 7884 9180 9855 11169 11826 12410 13140 13770 14892 18615 19710 22338 23652 24820 27540 29565 33507 37230 39420 44676 55845 59130 67014 74460 100521 111690 118260 134028 167535 201042 223380 335070 402084 502605 670140 1005210 2010420