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2102520 = 233572503
BaseRepresentation
bin1000000001010011111000
310221211010010
420001103320
51014240040
6113021520
723604540
oct10012370
93854103
102102520
111206722
128548a0
13587cc4
143ca320
152b7e80
hex2014f8

2102520 has 64 divisors (see below), whose sum is σ = 7211520. Its totient is φ = 480384.

The previous prime is 2102519. The next prime is 2102531. The reversal of 2102520 is 252012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2102496 and 2102505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 412 + ... + 2091.

It is an arithmetic number, because the mean of its divisors is an integer number (112680).

22102520 is an apocalyptic number.

2102520 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 2102520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3605760).

2102520 is an abundant number, since it is smaller than the sum of its proper divisors (5109000).

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

2102520 is a wasteful number, since it uses less digits than its factorization.

2102520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2524 (or 2520 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 2102520 is about 1450.0068965353. The cubic root of 2102520 is about 128.1091191897.

Adding to 2102520 its reverse (252012), we get a palindrome (2354532).

The spelling of 2102520 in words is "two million, one hundred two thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 2503 5006 7509 10012 12515 15018 17521 20024 25030 30036 35042 37545 50060 52563 60072 70084 75090 87605 100120 105126 140168 150180 175210 210252 262815 300360 350420 420504 525630 700840 1051260 2102520