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2023152 = 243113373
BaseRepresentation
bin111101101111011110000
310210210020120
413231323300
51004220102
6111210240
723124255
oct7557360
93723216
102023152
11116202a
12816980
1355ab41
143a942c
1529e6bc
hex1edef0

2023152 has 40 divisors (see below), whose sum is σ = 5286864. Its totient is φ = 666624.

The previous prime is 2023141. The next prime is 2023157. The reversal of 2023152 is 2513202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2023157) 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, 5238 + ... + 5610.

22023152 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 2023152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2643432).

2023152 is an abundant number, since it is smaller than the sum of its proper divisors (3263712).

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

2023152 is a wasteful number, since it uses less digits than its factorization.

2023152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 2023152 is about 1422.3754778539. The cubic root of 2023152 is about 126.4764025620.

Adding to 2023152 its reverse (2513202), we get a palindrome (4536354).

The spelling of 2023152 in words is "two million, twenty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 113 226 339 373 452 678 746 904 1119 1356 1492 1808 2238 2712 2984 4476 5424 5968 8952 17904 42149 84298 126447 168596 252894 337192 505788 674384 1011576 2023152