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2060100 = 2233527109
BaseRepresentation
bin111110110111101000100
310212122221000
413312331010
51011410400
6112053300
723340060
oct7667504
93778830
102060100
111187869
12834230
135718c3
143b8aa0
152aa600
hex1f6f44

2060100 has 144 divisors (see below), whose sum is σ = 7638400. Its totient is φ = 466560.

The previous prime is 2060099. The next prime is 2060101. The reversal of 2060100 is 10602.

It is an interprime number because it is at equal distance from previous prime (2060099) and next prime (2060101).

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2060101) 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 47 ways as a sum of consecutive naturals, for example, 18846 + ... + 18954.

22060100 is an apocalyptic number.

2060100 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 2060100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3819200).

2060100 is an abundant number, since it is smaller than the sum of its proper divisors (5578300).

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

2060100 is a wasteful number, since it uses less digits than its factorization.

2060100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2060100 is about 1435.3048456687. The cubic root of 2060100 is about 127.2416915667.

Adding to 2060100 its reverse (10602), we get a palindrome (2070702).

The spelling of 2060100 in words is "two million, sixty thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 27 28 30 35 36 42 45 50 54 60 63 70 75 84 90 100 105 108 109 126 135 140 150 175 180 189 210 218 225 252 270 300 315 327 350 378 420 436 450 525 540 545 630 654 675 700 756 763 900 945 981 1050 1090 1260 1308 1350 1526 1575 1635 1890 1962 2100 2180 2289 2700 2725 2943 3052 3150 3270 3780 3815 3924 4578 4725 4905 5450 5886 6300 6540 6867 7630 8175 9156 9450 9810 10900 11445 11772 13734 14715 15260 16350 18900 19075 19620 20601 22890 24525 27468 29430 32700 34335 38150 41202 45780 49050 57225 58860 68670 73575 76300 82404 98100 103005 114450 137340 147150 171675 206010 228900 294300 343350 412020 515025 686700 1030050 2060100