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55040960 = 26513101131
BaseRepresentation
bin1101000111110…
…1101111000000
310211120101000002
43101331233000
5103042302320
65243415132
71235561162
oct321755700
9124511002
1055040960
11290840a7
12165244a8
13b531a20
14744a932
154c73675
hex347dbc0

55040960 has 112 divisors (see below), whose sum is σ = 143633952. Its totient is φ = 19968000.

The previous prime is 55040957. The next prime is 55040963. The reversal of 55040960 is 6904055.

It is an interprime number because it is at equal distance from previous prime (55040957) and next prime (55040963).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55040963) 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, 420095 + ... + 420225.

It is an arithmetic number, because the mean of its divisors is an integer number (1282446).

Almost surely, 255040960 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 55040960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71816976).

55040960 is an abundant number, since it is smaller than the sum of its proper divisors (88592992).

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

55040960 is a wasteful number, since it uses less digits than its factorization.

55040960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 29.

The square root of 55040960 is about 7418.9594957784. The cubic root of 55040960 is about 380.3896280642.

The spelling of 55040960 in words is "fifty-five million, forty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 101 104 130 131 160 202 208 260 262 320 404 416 505 520 524 655 808 832 1010 1040 1048 1310 1313 1616 1703 2020 2080 2096 2620 2626 3232 3406 4040 4160 4192 5240 5252 6464 6565 6812 8080 8384 8515 10480 10504 13130 13231 13624 16160 17030 20960 21008 26260 26462 27248 32320 34060 41920 42016 52520 52924 54496 66155 68120 84032 105040 105848 108992 132310 136240 172003 210080 211696 264620 272480 344006 420160 423392 529240 544960 688012 846784 860015 1058480 1376024 1720030 2116960 2752048 3440060 4233920 5504096 6880120 11008192 13760240 27520480 55040960