Search a number
-
+
55669120 = 275136691
BaseRepresentation
bin1101010001011…
…1000110000000
310212202021200021
43110113012000
5103222402440
65305103224
71244115433
oct324270600
9125667607
1055669120
1129473041
1216787b14
13b6c1910
14757181a
154d4984a
hex3517180

55669120 has 64 divisors (see below), whose sum is σ = 143342640. Its totient is φ = 20551680.

The previous prime is 55669109. The next prime is 55669139. The reversal of 55669120 is 2196655.

It is a happy number.

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

It is a congruent number.

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, 4975 + ... + 11665.

Almost surely, 255669120 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 55669120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71671320).

55669120 is an abundant number, since it is smaller than the sum of its proper divisors (87673520).

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

55669120 is a wasteful number, since it uses less digits than its factorization.

55669120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6723 (or 6711 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 34.

The square root of 55669120 is about 7461.1741703300. The cubic root of 55669120 is about 381.8312349004.

The spelling of 55669120 in words is "fifty-five million, six hundred sixty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 260 320 416 520 640 832 1040 1664 2080 4160 6691 8320 13382 26764 33455 53528 66910 86983 107056 133820 173966 214112 267640 347932 428224 434915 535280 695864 856448 869830 1070560 1391728 1739660 2141120 2783456 3479320 4282240 5566912 6958640 11133824 13917280 27834560 55669120