Search a number
-
+
2087928 = 233247617
BaseRepresentation
bin111111101101111111000
310221002002200
413331233320
51013303203
6112430200
723514153
oct7755770
93832080
102087928
1111a6767
12848360
1358147b
143c4c9a
152b39a3
hex1fdbf8

2087928 has 48 divisors (see below), whose sum is σ = 5784480. Its totient is φ = 680064.

The previous prime is 2087927. The next prime is 2087941. The reversal of 2087928 is 8297802.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2087892 and 2087901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2087927) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3076 + ... + 3692.

It is an arithmetic number, because the mean of its divisors is an integer number (120510).

22087928 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 2087928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2892240).

2087928 is an abundant number, since it is smaller than the sum of its proper divisors (3696552).

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

2087928 is a wasteful number, since it uses less digits than its factorization.

2087928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 2087928 is about 1444.9664355963. The cubic root of 2087928 is about 127.8120614301.

The spelling of 2087928 in words is "two million, eighty-seven thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 94 141 188 282 376 423 564 617 846 1128 1234 1692 1851 2468 3384 3702 4936 5553 7404 11106 14808 22212 28999 44424 57998 86997 115996 173994 231992 260991 347988 521982 695976 1043964 2087928