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2123992 = 231321571
BaseRepresentation
bin1000000110100011011000
310222220120101
420012203120
51020431432
6113305144
724024253
oct10064330
93886511
102123992
111220872
128651b4
13594a00
143d409a
152be4e7
hex2068d8

2123992 has 24 divisors (see below), whose sum is σ = 4315140. Its totient is φ = 979680.

The previous prime is 2123983. The next prime is 2123999. The reversal of 2123992 is 2993212.

2123992 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×21239922 = 9022684032128, which contains 22 as substring.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 2 + 1 + 29 + 39 + 92 + 94 + 221 .

It is a self number, because there is not a number n which added to its sum of digits gives 2123992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2123999) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 567 + ... + 2137.

22123992 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 2123992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2157570).

2123992 is an abundant number, since it is smaller than the sum of its proper divisors (2191148).

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

2123992 is a wasteful number, since it uses less digits than its factorization.

2123992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1603 (or 1586 counting only the distinct ones).

The product of its digits is 1944, while the sum is 28.

The square root of 2123992 is about 1457.3921915531. The cubic root of 2123992 is about 128.5437480681.

The spelling of 2123992 in words is "two million, one hundred twenty-three thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 13 26 52 104 169 338 676 1352 1571 3142 6284 12568 20423 40846 81692 163384 265499 530998 1061996 2123992