Search a number
-
+
5451040 = 255731157
BaseRepresentation
bin10100110010110100100000
3101020221102101
4110302310200
52343413130
6312500144
764222150
oct24626440
911227371
105451040
1130934a1
1219aa654
13118b18a
14a1c760
1572a1ca
hex532d20

5451040 has 96 divisors (see below), whose sum is σ = 15289344. Its totient is φ = 1797120.

The previous prime is 5451029. The next prime is 5451049. The reversal of 5451040 is 401545.

It is a junction number, because it is equal to n+sod(n) for n = 5450999 and 5451017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5451049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34642 + ... + 34798.

It is an arithmetic number, because the mean of its divisors is an integer number (159264).

Almost surely, 25451040 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 5451040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7644672).

5451040 is an abundant number, since it is smaller than the sum of its proper divisors (9838304).

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

5451040 is a wasteful number, since it uses less digits than its factorization.

5451040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 5451040 is about 2334.7462388876. The cubic root of 5451040 is about 175.9920795334.

Adding to 5451040 its reverse (401545), we get a palindrome (5852585).

The spelling of 5451040 in words is "five million, four hundred fifty-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 56 62 70 80 112 124 140 155 157 160 217 224 248 280 310 314 434 496 560 620 628 785 868 992 1085 1099 1120 1240 1256 1570 1736 2170 2198 2480 2512 3140 3472 4340 4396 4867 4960 5024 5495 6280 6944 8680 8792 9734 10990 12560 17360 17584 19468 21980 24335 25120 34069 34720 35168 38936 43960 48670 68138 77872 87920 97340 136276 155744 170345 175840 194680 272552 340690 389360 545104 681380 778720 1090208 1362760 2725520 5451040