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2121408 = 263229127
BaseRepresentation
bin1000000101111011000000
310222210000200
420011323000
51020341113
6113245200
724013602
oct10057300
93883020
102121408
111219933
12863800
13593793
143d3172
152bd873
hex205ec0

2121408 has 84 divisors (see below), whose sum is σ = 6339840. Its totient is φ = 677376.

The previous prime is 2121403. The next prime is 2121433. The reversal of 2121408 is 8041212.

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

It is not an unprimeable number, because it can be changed into a prime (2121403) 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, 16641 + ... + 16767.

22121408 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 2121408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3169920).

2121408 is an abundant number, since it is smaller than the sum of its proper divisors (4218432).

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

2121408 is a wasteful number, since it uses less digits than its factorization.

2121408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 2121408 is about 1456.5054067871. The cubic root of 2121408 is about 128.4915991217.

The spelling of 2121408 in words is "two million, one hundred twenty-one thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 127 144 174 192 232 254 261 288 348 381 464 508 522 576 696 762 928 1016 1044 1143 1392 1524 1856 2032 2088 2286 2784 3048 3683 4064 4176 4572 5568 6096 7366 8128 8352 9144 11049 12192 14732 16704 18288 22098 24384 29464 33147 36576 44196 58928 66294 73152 88392 117856 132588 176784 235712 265176 353568 530352 707136 1060704 2121408