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55104640 = 275292969
BaseRepresentation
bin1101001000110…
…1010010000000
310211200121100121
43102031102000
5103101322030
65245030024
71236244633
oct322152200
9124617317
1055104640
1129117a28
1216555314
13b5549c6
147465c1a
154c8747a
hex348d480

55104640 has 64 divisors (see below), whose sum is σ = 136323000. Its totient is φ = 21274624.

The previous prime is 55104601. The next prime is 55104677. The reversal of 55104640 is 4640155.

It can be written as a sum of positive squares in 4 ways, for example, as 26460736 + 28643904 = 5144^2 + 5352^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17076 + ... + 20044.

Almost surely, 255104640 is an apocalyptic number.

55104640 is the 3712-nd decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55104640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68161500).

55104640 is an abundant number, since it is smaller than the sum of its proper divisors (81218360).

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

55104640 is a wasteful number, since it uses less digits than its factorization.

55104640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3017 (or 3005 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 55104640 is about 7423.2499621123. The cubic root of 55104640 is about 380.5362696186.

Adding to 55104640 its reverse (4640155), we get a palindrome (59744795).

The spelling of 55104640 in words is "fifty-five million, one hundred four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 128 145 160 232 290 320 464 580 640 928 1160 1856 2320 2969 3712 4640 5938 9280 11876 14845 18560 23752 29690 47504 59380 86101 95008 118760 172202 190016 237520 344404 380032 430505 475040 688808 861010 950080 1377616 1722020 1900160 2755232 3444040 5510464 6888080 11020928 13776160 27552320 55104640