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55057560 = 233517137197
BaseRepresentation
bin1101001000000…
…1110010011000
310211121012202220
43102001302120
5103043320220
65244024040
71235660445
oct322016230
9124535686
1055057560
1129095618
1216532020
13b53944c
1474529cc
154c78540
hex3481c98

55057560 has 128 divisors (see below), whose sum is σ = 177059520. Its totient is φ = 13647872.

The previous prime is 55057559. The next prime is 55057567. The reversal of 55057560 is 6575055.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55057567) 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, 279382 + ... + 279578.

Almost surely, 255057560 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 55057560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88529760).

55057560 is an abundant number, since it is smaller than the sum of its proper divisors (122001960).

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

55057560 is a wasteful number, since it uses less digits than its factorization.

55057560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 26250, while the sum is 33.

The square root of 55057560 is about 7420.0781667042. The cubic root of 55057560 is about 380.4278652433.

The spelling of 55057560 in words is "fifty-five million, fifty-seven thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 137 170 197 204 255 274 340 394 408 411 510 548 591 680 685 788 822 985 1020 1096 1182 1370 1576 1644 1970 2040 2055 2329 2364 2740 2955 3288 3349 3940 4110 4658 4728 5480 5910 6698 6987 7880 8220 9316 10047 11645 11820 13396 13974 16440 16745 18632 20094 23290 23640 26792 26989 27948 33490 34935 40188 46580 50235 53978 55896 66980 69870 80376 80967 93160 100470 107956 133960 134945 139740 161934 200940 215912 269890 279480 323868 401880 404835 458813 539780 647736 809670 917626 1079560 1376439 1619340 1835252 2294065 2752878 3238680 3670504 4588130 5505756 6882195 9176260 11011512 13764390 18352520 27528780 55057560