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5461440 = 26355689
BaseRepresentation
bin10100110101010111000000
3101021110200120
4110311113000
52344231230
6313020240
764264365
oct24652700
911243616
105461440
1130a0296
1219b4680
131192b2a
14a2246c
1572d310
hex5355c0

5461440 has 56 divisors (see below), whose sum is σ = 17343120. Its totient is φ = 1456128.

The previous prime is 5461411. The next prime is 5461441. The reversal of 5461440 is 441645.

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 5461440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5461441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1885 + ... + 3804.

Almost surely, 25461440 is an apocalyptic number.

It is an amenable number.

5461440 is an abundant number, since it is smaller than the sum of its proper divisors (11881680).

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

5461440 is a wasteful number, since it uses less digits than its factorization.

5461440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5709 (or 5699 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 5461440 is about 2336.9724003505. The cubic root of 5461440 is about 176.1039331028.

The spelling of 5461440 in words is "five million, four hundred sixty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 5689 11378 17067 22756 28445 34134 45512 56890 68268 85335 91024 113780 136536 170670 182048 227560 273072 341340 364096 455120 546144 682680 910240 1092288 1365360 1820480 2730720 5461440