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2123496 = 233429113
BaseRepresentation
bin1000000110011011101000
310222212220000
420012123220
51020422441
6113303000
724022644
oct10063350
93885800
102123496
111220461
12864a60
1359470b
143d3c24
152be2b6
hex2066e8

2123496 has 80 divisors (see below), whose sum is σ = 6207300. Its totient is φ = 677376.

The previous prime is 2123491. The next prime is 2123557. The reversal of 2123496 is 6943212.

It can be written as a sum of positive squares in 2 ways, for example, as 1920996 + 202500 = 1386^2 + 450^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (2123491) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18736 + ... + 18848.

22123496 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 2123496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3103650).

2123496 is an abundant number, since it is smaller than the sum of its proper divisors (4083804).

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

2123496 is a wasteful number, since it uses less digits than its factorization.

2123496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 147 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 2123496 is about 1457.2220146567. Note that the first 3 decimals coincide. The cubic root of 2123496 is about 128.5337413350.

The spelling of 2123496 in words is "two million, one hundred twenty-three thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 81 87 108 113 116 162 174 216 226 232 261 324 339 348 452 522 648 678 696 783 904 1017 1044 1356 1566 2034 2088 2349 2712 3051 3132 3277 4068 4698 6102 6264 6554 8136 9153 9396 9831 12204 13108 18306 18792 19662 24408 26216 29493 36612 39324 58986 73224 78648 88479 117972 176958 235944 265437 353916 530874 707832 1061748 2123496