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2061900 = 2232522979
BaseRepresentation
bin111110111011001001100
310212202101200
413313121030
51011440100
6112105500
723345241
oct7673114
93782350
102061900
111189155
12835290
13572679
143b95c8
152aae00
hex1f764c

2061900 has 108 divisors (see below), whose sum is σ = 6770400. Its totient is φ = 524160.

The previous prime is 2061887. The next prime is 2061907. The reversal of 2061900 is 91602.

It is a super-2 number, since 2×20619002 = 8502863220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2061907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 26061 + ... + 26139.

22061900 is an apocalyptic number.

2061900 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 2061900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3385200).

2061900 is an abundant number, since it is smaller than the sum of its proper divisors (4708500).

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

2061900 is a wasteful number, since it uses less digits than its factorization.

2061900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 2061900 is about 1435.9317532529. The cubic root of 2061900 is about 127.2787396665.

The spelling of 2061900 in words is "two million, sixty-one thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 29 30 36 45 50 58 60 75 79 87 90 100 116 145 150 158 174 180 225 237 261 290 300 316 348 395 435 450 474 522 580 711 725 790 870 900 948 1044 1185 1305 1422 1450 1580 1740 1975 2175 2291 2370 2610 2844 2900 3555 3950 4350 4582 4740 5220 5925 6525 6873 7110 7900 8700 9164 11455 11850 13050 13746 14220 17775 20619 22910 23700 26100 27492 34365 35550 41238 45820 57275 68730 71100 82476 103095 114550 137460 171825 206190 229100 343650 412380 515475 687300 1030950 2061900