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5451940 = 2251321613
BaseRepresentation
bin10100110011000010100100
3101020222122201
4110303002210
52343430230
6312504244
764224604
oct24630244
911228581
105451940
11309413a
1219ab084
13118b700
14a1cc04
1572a5ca
hex5330a4

5451940 has 36 divisors (see below), whose sum is σ = 12405204. Its totient is φ = 2011776.

The previous prime is 5451937. The next prime is 5451947. The reversal of 5451940 is 491545.

It can be written as a sum of positive squares in 6 ways, for example, as 820836 + 4631104 = 906^2 + 2152^2 .

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 junction number, because it is equal to n+sod(n) for n = 5451899 and 5451908.

It is not an unprimeable number, because it can be changed into a prime (5451947) 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, 2574 + ... + 4186.

It is an arithmetic number, because the mean of its divisors is an integer number (344589).

Almost surely, 25451940 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 5451940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6202602).

5451940 is an abundant number, since it is smaller than the sum of its proper divisors (6953264).

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

5451940 is a wasteful number, since it uses less digits than its factorization.

5451940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1648 (or 1633 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 5451940 is about 2334.9389713652. The cubic root of 5451940 is about 176.0017647895.

It can be divided in two parts, 545 and 1940, that added together give a triangular number (2485 = T70).

The spelling of 5451940 in words is "five million, four hundred fifty-one thousand, nine hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 676 845 1613 1690 3226 3380 6452 8065 16130 20969 32260 41938 83876 104845 209690 272597 419380 545194 1090388 1362985 2725970 5451940