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1234080 = 25325857
BaseRepresentation
bin100101101010010100000
32022200211200
410231102200
5303442310
642241200
713326621
oct4552240
92280750
101234080
11773201
124b6200
13342933
14241a48
151959c0
hex12d4a0

1234080 has 72 divisors (see below), whose sum is σ = 4216212. Its totient is φ = 328704.

The previous prime is 1234067. The next prime is 1234099. The reversal of 1234080 is 804321.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1192464 + 41616 = 1092^2 + 204^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1012 + ... + 1868.

21234080 is an apocalyptic number.

1234080 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 1234080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2108106).

1234080 is an abundant number, since it is smaller than the sum of its proper divisors (2982132).

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

1234080 is a wasteful number, since it uses less digits than its factorization.

1234080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1234080 is about 1110.8915338592. The cubic root of 1234080 is about 107.2624645236.

The spelling of 1234080 in words is "one million, two hundred thirty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 857 1440 1714 2571 3428 4285 5142 6856 7713 8570 10284 12855 13712 15426 17140 20568 25710 27424 30852 34280 38565 41136 51420 61704 68560 77130 82272 102840 123408 137120 154260 205680 246816 308520 411360 617040 1234080