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1506260 = 225722953
BaseRepresentation
bin101101111101111010100
32211112012102
411233233110
5341200020
652141232
715542300
oct5575724
92745172
101506260
11939748
12607818
134097a2
142b2d00
151eb475
hex16fbd4

1506260 has 72 divisors (see below), whose sum is σ = 3878280. Its totient is φ = 489216.

The previous prime is 1506257. The next prime is 1506269. The reversal of 1506260 is 626051.

It can be written as a sum of positive squares in 4 ways, for example, as 283024 + 1223236 = 532^2 + 1106^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1506269) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28394 + ... + 28446.

It is an arithmetic number, because the mean of its divisors is an integer number (53865).

21506260 is an apocalyptic number.

1506260 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 1506260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1939140).

1506260 is an abundant number, since it is smaller than the sum of its proper divisors (2372020).

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

1506260 is a wasteful number, since it uses less digits than its factorization.

1506260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 1506260 is about 1227.2978448608. The cubic root of 1506260 is about 114.6304457137.

The spelling of 1506260 in words is "one million, five hundred six thousand, two hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 49 53 58 70 98 106 116 140 145 196 203 212 245 265 290 371 406 490 530 580 742 812 980 1015 1060 1421 1484 1537 1855 2030 2597 2842 3074 3710 4060 5194 5684 6148 7105 7420 7685 10388 10759 12985 14210 15370 21518 25970 28420 30740 43036 51940 53795 75313 107590 150626 215180 301252 376565 753130 1506260