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1493960 = 23513317
BaseRepresentation
bin101101100101111001000
32210220022212
411230233020
5340301320
652004252
715461366
oct5545710
92726285
101493960
11930486
12600688
13404000
142ac636
151e79c5
hex16cbc8

1493960 has 64 divisors (see below), whose sum is σ = 3855600. Its totient is φ = 519168.

The previous prime is 1493929. The next prime is 1493963. The reversal of 1493960 is 693941.

It can be written as a sum of positive squares in 8 ways, for example, as 20164 + 1473796 = 142^2 + 1214^2 .

It is not an unprimeable number, because it can be changed into a prime (1493963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87872 + ... + 87888.

21493960 is an apocalyptic number.

1493960 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 1493960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1927800).

1493960 is an abundant number, since it is smaller than the sum of its proper divisors (2361640).

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

1493960 is a wasteful number, since it uses less digits than its factorization.

1493960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 32.

The square root of 1493960 is about 1222.2765644485. The cubic root of 1493960 is about 114.3175714761.

The spelling of 1493960 in words is "one million, four hundred ninety-three thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 13 17 20 26 34 40 52 65 68 85 104 130 136 169 170 221 260 338 340 442 520 676 680 845 884 1105 1352 1690 1768 2197 2210 2873 3380 4394 4420 5746 6760 8788 8840 10985 11492 14365 17576 21970 22984 28730 37349 43940 57460 74698 87880 114920 149396 186745 298792 373490 746980 1493960