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1146080 = 255131929
BaseRepresentation
bin100010111110011100000
32011020010102
410113303200
5243133310
640321532
712512225
oct4276340
92136112
101146080
11713081
124732a8
13311870
1421b94c
151798a5
hex117ce0

1146080 has 96 divisors (see below), whose sum is σ = 3175200. Its totient is φ = 387072.

The previous prime is 1146071. The next prime is 1146083. The reversal of 1146080 is 806411.

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 (1146083) 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, 39506 + ... + 39534.

It is an arithmetic number, because the mean of its divisors is an integer number (33075).

21146080 is an apocalyptic number.

1146080 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 1146080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1587600).

1146080 is an abundant number, since it is smaller than the sum of its proper divisors (2029120).

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

1146080 is a wasteful number, since it uses less digits than its factorization.

1146080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 1146080 is about 1070.5512598657. The cubic root of 1146080 is about 104.6497779738.

The spelling of 1146080 in words is "one million, one hundred forty-six thousand, eighty".

Divisors: 1 2 4 5 8 10 13 16 19 20 26 29 32 38 40 52 58 65 76 80 95 104 116 130 145 152 160 190 208 232 247 260 290 304 377 380 416 464 494 520 551 580 608 754 760 928 988 1040 1102 1160 1235 1508 1520 1885 1976 2080 2204 2320 2470 2755 3016 3040 3770 3952 4408 4640 4940 5510 6032 7163 7540 7904 8816 9880 11020 12064 14326 15080 17632 19760 22040 28652 30160 35815 39520 44080 57304 60320 71630 88160 114608 143260 229216 286520 573040 1146080