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840480 = 253517103
BaseRepresentation
bin11001101001100100000
31120200220220
43031030200
5203343410
630003040
710100244
oct3151440
91520826
10840480
11524513
12346480
13235734
1417c424
15119070
hexcd320

840480 has 96 divisors (see below), whose sum is σ = 2830464. Its totient is φ = 208896.

The previous prime is 840479. The next prime is 840491. The reversal of 840480 is 84048.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 840480.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 840480.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8109 + ... + 8211.

It is an arithmetic number, because the mean of its divisors is an integer number (29484).

2840480 is an apocalyptic number.

840480 is a gapful number since it is divisible by the number (80) 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 840480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1415232).

840480 is an abundant number, since it is smaller than the sum of its proper divisors (1989984).

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

840480 is a wasteful number, since it uses less digits than its factorization.

840480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 840480 is about 916.7769630614. The cubic root of 840480 is about 94.3718483517.

Subtracting from 840480 its sum of digits (24), we obtain a triangular number (840456 = T1296).

The spelling of 840480 in words is "eight hundred forty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 68 80 85 96 102 103 120 136 160 170 204 206 240 255 272 309 340 408 412 480 510 515 544 618 680 816 824 1020 1030 1236 1360 1545 1632 1648 1751 2040 2060 2472 2720 3090 3296 3502 4080 4120 4944 5253 6180 7004 8160 8240 8755 9888 10506 12360 14008 16480 17510 21012 24720 26265 28016 35020 42024 49440 52530 56032 70040 84048 105060 140080 168096 210120 280160 420240 840480