Search a number
-
+
55539960 = 23357371787
BaseRepresentation
bin1101001111011…
…1100011111000
310212111201111120
43103313203320
5103204234320
65302225240
71243040040
oct323674370
9125451446
1055539960
1129394aa3
1216725220
13b677ba8
14753a720
154d21440
hex34f78f8

55539960 has 128 divisors (see below), whose sum is σ = 195678720. Its totient is φ = 12344832.

The previous prime is 55539943. The next prime is 55539973. The reversal of 55539960 is 6993555.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30187 + ... + 31973.

It is an arithmetic number, because the mean of its divisors is an integer number (1528740).

Almost surely, 255539960 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 55539960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97839360).

55539960 is an abundant number, since it is smaller than the sum of its proper divisors (140138760).

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

55539960 is a wasteful number, since it uses less digits than its factorization.

55539960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1845 (or 1841 counting only the distinct ones).

The product of its (nonzero) digits is 182250, while the sum is 42.

The square root of 55539960 is about 7452.5136698969. The cubic root of 55539960 is about 381.5357059338.

The spelling of 55539960 in words is "fifty-five million, five hundred thirty-nine thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 37 40 42 56 60 70 74 84 105 111 120 140 148 168 185 210 222 259 280 296 370 420 444 518 555 740 777 840 888 1036 1110 1295 1480 1554 1787 2072 2220 2590 3108 3574 3885 4440 5180 5361 6216 7148 7770 8935 10360 10722 12509 14296 15540 17870 21444 25018 26805 31080 35740 37527 42888 50036 53610 62545 66119 71480 75054 100072 107220 125090 132238 150108 187635 198357 214440 250180 264476 300216 330595 375270 396714 462833 500360 528952 661190 750540 793428 925666 991785 1322380 1388499 1501080 1586856 1851332 1983570 2314165 2644760 2776998 3702664 3967140 4628330 5553996 6942495 7934280 9256660 11107992 13884990 18513320 27769980 55539960