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2123912 = 237172397
BaseRepresentation
bin1000000110100010001000
310222220110102
420012202020
51020431122
6113304532
724024110
oct10064210
93886412
102123912
1112207aa
12865148
1359496b
143d4040
152be492
hex206888

2123912 has 64 divisors (see below), whose sum is σ = 5080320. Its totient is φ = 811008.

The previous prime is 2123909. The next prime is 2123917. The reversal of 2123912 is 2193212.

It is a super-2 number, since 2×21239122 = 9022004367488, which contains 22 as substring.

It is a d-powerful number, because it can be written as 2 + 1 + 29 + 39 + 94 + 1 + 221 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2123917) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21848 + ... + 21944.

It is an arithmetic number, because the mean of its divisors is an integer number (79380).

22123912 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 2123912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2540160).

2123912 is an abundant number, since it is smaller than the sum of its proper divisors (2956408).

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

2123912 is a wasteful number, since it uses less digits than its factorization.

2123912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 146 counting only the distinct ones).

The product of its digits is 216, while the sum is 20.

The square root of 2123912 is about 1457.3647450107. The cubic root of 2123912 is about 128.5421341842.

The spelling of 2123912 in words is "two million, one hundred twenty-three thousand, nine hundred twelve".

Divisors: 1 2 4 7 8 14 17 23 28 34 46 56 68 92 97 119 136 161 184 194 238 322 388 391 476 644 679 776 782 952 1288 1358 1564 1649 2231 2716 2737 3128 3298 4462 5432 5474 6596 8924 10948 11543 13192 15617 17848 21896 23086 31234 37927 46172 62468 75854 92344 124936 151708 265489 303416 530978 1061956 2123912