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1349460 = 223457217
BaseRepresentation
bin101001001011101010100
32112120010000
411021131110
5321140320
644531300
714320200
oct5113524
92476100
101349460
11841962
12550b30
133832c8
14271b00
151b9c90
hex149754

1349460 has 180 divisors, whose sum is σ = 5214132. Its totient is φ = 290304.

The previous prime is 1349423. The next prime is 1349471. The reversal of 1349460 is 649431.

It can be written as a sum of positive squares in 2 ways, for example, as 777924 + 571536 = 882^2 + 756^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 79372 + ... + 79388.

21349460 is an apocalyptic number.

1349460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1349460 is the 735-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1349460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2607066).

1349460 is an abundant number, since it is smaller than the sum of its proper divisors (3864672).

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

1349460 is a wasteful number, since it uses less digits than its factorization.

1349460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1349460 is about 1161.6626016189. The cubic root of 1349460 is about 110.5062068680.

The spelling of 1349460 in words is "one million, three hundred forty-nine thousand, four hundred sixty".