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1230960 = 243523223
BaseRepresentation
bin100101100100001110000
32022112120010
410230201300
5303342320
642214520
713314543
oct4544160
92275503
101230960
11770925
124b4440
133413a3
1424085a
15194ae0
hex12c870

1230960 has 80 divisors (see below), whose sum is σ = 3999744. Its totient is φ = 312576.

The previous prime is 1230949. The next prime is 1230967. The reversal of 1230960 is 690321.

1230960 = T85 + T86 + ... + T199.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1230967) 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, 5409 + ... + 5631.

21230960 is an apocalyptic number.

1230960 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 1230960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1999872).

1230960 is an abundant number, since it is smaller than the sum of its proper divisors (2768784).

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

1230960 is a wasteful number, since it uses less digits than its factorization.

1230960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 1230960 is about 1109.4863676495. The cubic root of 1230960 is about 107.1719946150.

The spelling of 1230960 in words is "one million, two hundred thirty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 223 230 240 276 345 368 446 460 552 669 690 892 920 1104 1115 1338 1380 1784 1840 2230 2676 2760 3345 3568 4460 5129 5352 5520 6690 8920 10258 10704 13380 15387 17840 20516 25645 26760 30774 41032 51290 53520 61548 76935 82064 102580 123096 153870 205160 246192 307740 410320 615480 1230960