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2030624 = 25233189
BaseRepresentation
bin111101111110000100000
310211011111022
413233300200
51004434444
6111305012
723155121
oct7576040
93734438
102030624
111167702
1281b168
1356136b
143ac048
152a19ee
hex1efc20

2030624 has 48 divisors (see below), whose sum is σ = 4354560. Its totient is φ = 929280.

The previous prime is 2030617. The next prime is 2030627. The reversal of 2030624 is 4260302.

It is a Cunningham number, because it is equal to 14252-1.

It is not an unprimeable number, because it can be changed into a prime (2030627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22772 + ... + 22860.

It is an arithmetic number, because the mean of its divisors is an integer number (90720).

22030624 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 2030624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2177280).

2030624 is an abundant number, since it is smaller than the sum of its proper divisors (2323936).

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

2030624 is a wasteful number, since it uses less digits than its factorization.

2030624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 2030624 is about 1424.9996491228. Note that the first 3 decimals coincide. The cubic root of 2030624 is about 126.6319141349.

Adding to 2030624 its reverse (4260302), we get a palindrome (6290926).

The spelling of 2030624 in words is "two million, thirty thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 23 31 32 46 62 89 92 124 178 184 248 356 368 496 712 713 736 992 1424 1426 2047 2759 2848 2852 4094 5518 5704 8188 11036 11408 16376 22072 22816 32752 44144 63457 65504 88288 126914 253828 507656 1015312 2030624