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2120352 = 253131699
BaseRepresentation
bin1000000101101010100000
310222201120120
420011222200
51020322402
6113240240
724010533
oct10055240
93881516
102120352
111219063
12863080
13593160
143d2a1a
152bd3bc
hex205aa0

2120352 has 48 divisors (see below), whose sum is σ = 5997600. Its totient is φ = 652032.

The previous prime is 2120351. The next prime is 2120353. The reversal of 2120352 is 2530212.

It is an interprime number because it is at equal distance from previous prime (2120351) and next prime (2120353).

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (2120351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 399 + ... + 2097.

It is an arithmetic number, because the mean of its divisors is an integer number (124950).

22120352 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 2120352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2998800).

2120352 is an abundant number, since it is smaller than the sum of its proper divisors (3877248).

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

2120352 is a wasteful number, since it uses less digits than its factorization.

2120352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1725 (or 1717 counting only the distinct ones).

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

The square root of 2120352 is about 1456.1428501352. The cubic root of 2120352 is about 128.4702752888.

Adding to 2120352 its reverse (2530212), we get a palindrome (4650564).

The spelling of 2120352 in words is "two million, one hundred twenty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 1699 3398 5097 6796 10194 13592 20388 22087 27184 40776 44174 54368 66261 81552 88348 132522 163104 176696 265044 353392 530088 706784 1060176 2120352