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2102496 = 253112181
BaseRepresentation
bin1000000001010011100000
310221211002020
420001103200
51014234441
6113021440
723604504
oct10012340
93854066
102102496
111206700
12854880
13587ca6
143ca304
152b7e66
hex2014e0

2102496 has 72 divisors (see below), whose sum is σ = 6099912. Its totient is φ = 633600.

The previous prime is 2102489. The next prime is 2102497. The reversal of 2102496 is 6942012.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 29 + 1 + 0 + 221 + 46 + 93 + 6 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102497) 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, 11526 + ... + 11706.

It is an arithmetic number, because the mean of its divisors is an integer number (84721).

22102496 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 2102496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3049956).

2102496 is an abundant number, since it is smaller than the sum of its proper divisors (3997416).

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

2102496 is a wasteful number, since it uses less digits than its factorization.

2102496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 2102496 is about 1449.9986206890. The cubic root of 2102496 is about 128.1086317381.

The spelling of 2102496 in words is "two million, one hundred two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 121 132 176 181 242 264 352 362 363 484 528 543 724 726 968 1056 1086 1448 1452 1936 1991 2172 2896 2904 3872 3982 4344 5792 5808 5973 7964 8688 11616 11946 15928 17376 21901 23892 31856 43802 47784 63712 65703 87604 95568 131406 175208 191136 262812 350416 525624 700832 1051248 2102496