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2088688 = 247171097
BaseRepresentation
bin111111101111011110000
310221010010211
413331323300
51013314223
6112433504
723516320
oct7757360
93833124
102088688
1111a7298
12848894
13581914
143c5280
152b3d0d
hex1fdef0

2088688 has 40 divisors (see below), whose sum is σ = 4901472. Its totient is φ = 841728.

The previous prime is 2088683. The next prime is 2088703. The reversal of 2088688 is 8868802.

It is a super-2 number, since 2×20886882 = 8725235122688, which contains 22 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2088688.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2088683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1356 + ... + 2452.

22088688 is an apocalyptic number.

2088688 is a gapful number since it is divisible by the number (28) 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 2088688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2450736).

2088688 is an abundant number, since it is smaller than the sum of its proper divisors (2812784).

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

2088688 is a wasteful number, since it uses less digits than its factorization.

2088688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 40.

The square root of 2088688 is about 1445.2293935566. The cubic root of 2088688 is about 127.8275672941.

The spelling of 2088688 in words is "two million, eighty-eight thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 476 952 1097 1904 2194 4388 7679 8776 15358 17552 18649 30716 37298 61432 74596 122864 130543 149192 261086 298384 522172 1044344 2088688