Search a number
-
+
2100120 = 2335113743
BaseRepresentation
bin1000000000101110011000
310221200211020
420000232120
51014200440
6113002440
723564541
oct10005630
93850736
102100120
111204940
12853420
13586b99
143c94c8
152b73d0
hex200b98

2100120 has 128 divisors (see below), whose sum is σ = 7223040. Its totient is φ = 483840.

The previous prime is 2100113. The next prime is 2100121. The reversal of 2100120 is 210012.

Adding to 2100120 its reverse (210012), we get a palindrome (2310132).

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 2100099 and 2100108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48819 + ... + 48861.

It is an arithmetic number, because the mean of its divisors is an integer number (56430).

22100120 is an apocalyptic number.

2100120 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 2100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3611520).

2100120 is an abundant number, since it is smaller than the sum of its proper divisors (5122920).

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

2100120 is a wasteful number, since it uses less digits than its factorization.

2100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 2100120 is about 1449.1790779610. The cubic root of 2100120 is about 128.0603556507.

The spelling of 2100120 in words is "two million, one hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 37 40 43 44 55 60 66 74 86 88 110 111 120 129 132 148 165 172 185 215 220 222 258 264 296 330 344 370 407 430 440 444 473 516 555 645 660 740 814 860 888 946 1032 1110 1221 1290 1320 1419 1480 1591 1628 1720 1892 2035 2220 2365 2442 2580 2838 3182 3256 3784 4070 4440 4730 4773 4884 5160 5676 6105 6364 7095 7955 8140 9460 9546 9768 11352 12210 12728 14190 15910 16280 17501 18920 19092 23865 24420 28380 31820 35002 38184 47730 48840 52503 56760 63640 70004 87505 95460 105006 140008 175010 190920 210012 262515 350020 420024 525030 700040 1050060 2100120