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5461080 = 2335172677
BaseRepresentation
bin10100110101010001011000
3101021110012020
4110311101120
52344223310
6313014440
764263342
oct24652130
911243166
105461080
11309aa99
1219b4420
131192911
14a22292
1572d170
hex535458

5461080 has 64 divisors (see below), whose sum is σ = 17353440. Its totient is φ = 1370112.

The previous prime is 5461073. The next prime is 5461081. The reversal of 5461080 is 801645.

5461080 is nontrivially palindromic in base 13.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5461080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5461081) 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, 702 + ... + 3378.

Almost surely, 25461080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5461080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8676720).

5461080 is an abundant number, since it is smaller than the sum of its proper divisors (11892360).

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

5461080 is a wasteful number, since it uses less digits than its factorization.

5461080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2708 (or 2704 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 5461080 is about 2336.8953763487. The cubic root of 5461080 is about 176.1000636221.

The spelling of 5461080 in words is "five million, four hundred sixty-one thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 2677 5354 8031 10708 13385 16062 21416 26770 32124 40155 45509 53540 64248 80310 91018 107080 136527 160620 182036 227545 273054 321240 364072 455090 546108 682635 910180 1092216 1365270 1820360 2730540 5461080