Search a number
-
+
55087560 = 23335114637
BaseRepresentation
bin1101001000100…
…1000111001000
310211122201221000
43102021013020
5103100300220
65244415000
71236144063
oct322110710
9124581830
1055087560
1129106110
1216547460
13b549cb8
14745d8da
154c82390
hex34891c8

55087560 has 128 divisors (see below), whose sum is σ = 200361600. Its totient is φ = 13351680.

The previous prime is 55087547. The next prime is 55087567. The reversal of 55087560 is 6578055.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (55087567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9562 + ... + 14198.

It is an arithmetic number, because the mean of its divisors is an integer number (1565325).

Almost surely, 255087560 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 55087560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100180800).

55087560 is an abundant number, since it is smaller than the sum of its proper divisors (145274040).

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

55087560 is a wasteful number, since it uses less digits than its factorization.

55087560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4668 (or 4658 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 55087560 is about 7422.0994334487. The cubic root of 55087560 is about 380.4969490875.

The spelling of 55087560 in words is "fifty-five million, eighty-seven thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 33 36 40 44 45 54 55 60 66 72 88 90 99 108 110 120 132 135 165 180 198 216 220 264 270 297 330 360 396 440 495 540 594 660 792 990 1080 1188 1320 1485 1980 2376 2970 3960 4637 5940 9274 11880 13911 18548 23185 27822 37096 41733 46370 51007 55644 69555 83466 92740 102014 111288 125199 139110 153021 166932 185480 204028 208665 250398 255035 278220 306042 333864 408056 417330 459063 500796 510070 556440 612084 625995 765105 834660 918126 1001592 1020140 1224168 1251990 1377189 1530210 1669320 1836252 2040280 2295315 2503980 2754378 3060420 3672504 4590630 5007960 5508756 6120840 6885945 9181260 11017512 13771890 18362520 27543780 55087560