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2088840 = 2335132103
BaseRepresentation
bin111111101111110001000
310221010100110
413331332020
51013320330
6112434320
723516625
oct7757610
93833313
102088840
1111a7416
128489a0
13581a00
143c534c
152b3db0
hex1fdf88

2088840 has 96 divisors (see below), whose sum is σ = 6851520. Its totient is φ = 509184.

The previous prime is 2088833. The next prime is 2088847. The reversal of 2088840 is 488802.

It is an interprime number because it is at equal distance from previous prime (2088833) and next prime (2088847).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2088798 and 2088807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2088847) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20229 + ... + 20331.

It is an arithmetic number, because the mean of its divisors is an integer number (71370).

22088840 is an apocalyptic number.

2088840 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 2088840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3425760).

2088840 is an abundant number, since it is smaller than the sum of its proper divisors (4762680).

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

2088840 is a wasteful number, since it uses less digits than its factorization.

2088840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 2088840 is about 1445.2819794075. The cubic root of 2088840 is about 127.8306680155.

The spelling of 2088840 in words is "two million, eighty-eight thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 103 104 120 130 156 169 195 206 260 309 312 338 390 412 507 515 520 618 676 780 824 845 1014 1030 1236 1339 1352 1545 1560 1690 2028 2060 2472 2535 2678 3090 3380 4017 4056 4120 5070 5356 6180 6695 6760 8034 10140 10712 12360 13390 16068 17407 20085 20280 26780 32136 34814 40170 52221 53560 69628 80340 87035 104442 139256 160680 174070 208884 261105 348140 417768 522210 696280 1044420 2088840