Search a number
-
+
1480680 = 23345457
BaseRepresentation
bin101101001011111101000
32210020010000
411221133220
5334340210
651423000
715404565
oct5513750
92706100
101480680
11921503
125b4a60
133cac56
142a786c
151e3ac0
hex1697e8

1480680 has 80 divisors (see below), whose sum is σ = 4987620. Its totient is φ = 393984.

The previous prime is 1480679. The next prime is 1480691. The reversal of 1480680 is 860841.

It can be written as a sum of positive squares in 2 ways, for example, as 1454436 + 26244 = 1206^2 + 162^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3012 + ... + 3468.

21480680 is an apocalyptic number.

1480680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1480680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2493810).

1480680 is an abundant number, since it is smaller than the sum of its proper divisors (3506940).

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

1480680 is a wasteful number, since it uses less digits than its factorization.

1480680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1480680 is about 1216.8319522432. The cubic root of 1480680 is about 113.9778350259.

The spelling of 1480680 in words is "one million, four hundred eighty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 457 540 648 810 914 1080 1371 1620 1828 2285 2742 3240 3656 4113 4570 5484 6855 8226 9140 10968 12339 13710 16452 18280 20565 24678 27420 32904 37017 41130 49356 54840 61695 74034 82260 98712 123390 148068 164520 185085 246780 296136 370170 493560 740340 1480680