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2100528 = 243229503
BaseRepresentation
bin1000000000110100110000
310221201101100
420000310300
51014204103
6113004400
723565663
oct10006460
93851340
102100528
111205181
12853700
13587121
143c96da
152b75a3
hex200d30

2100528 has 60 divisors (see below), whose sum is σ = 6093360. Its totient is φ = 674688.

The previous prime is 2100523. The next prime is 2100533. The reversal of 2100528 is 8250012.

It is an interprime number because it is at equal distance from previous prime (2100523) and next prime (2100533).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2100528.

It is not an unprimeable number, because it can be changed into a prime (2100523) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3925 + ... + 4427.

It is an arithmetic number, because the mean of its divisors is an integer number (101556).

22100528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3046680).

2100528 is an abundant number, since it is smaller than the sum of its proper divisors (3992832).

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

2100528 is a wasteful number, since it uses less digits than its factorization.

2100528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 2100528 is about 1449.3198404769. The cubic root of 2100528 is about 128.0686480724.

It can be divided in two parts, 2100 and 528, that added together give a triangular number (2628 = T72).

The spelling of 2100528 in words is "two million, one hundred thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 503 522 696 1006 1044 1392 1509 2012 2088 3018 4024 4176 4527 6036 8048 9054 12072 14587 18108 24144 29174 36216 43761 58348 72432 87522 116696 131283 175044 233392 262566 350088 525132 700176 1050264 2100528