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53960880 = 2435297753
BaseRepresentation
bin1100110111011…
…0000010110000
310202112111102010
43031312002300
5102303222010
65204322520
71223442231
oct315660260
9122474363
1053960880
1128506676
12160a3440
13b24421c
147249088
154b0d620
hex33760b0

53960880 has 80 divisors (see below), whose sum is σ = 173069280. Its totient is φ = 13891584.

The previous prime is 53960867. The next prime is 53960891. The reversal of 53960880 is 8806935.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3084 + ... + 10836.

It is an arithmetic number, because the mean of its divisors is an integer number (2163366).

Almost surely, 253960880 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 53960880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86534640).

53960880 is an abundant number, since it is smaller than the sum of its proper divisors (119108400).

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

53960880 is a wasteful number, since it uses less digits than its factorization.

53960880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7798 (or 7792 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 53960880 is about 7345.8069672433. The cubic root of 53960880 is about 377.8850186380.

The spelling of 53960880 in words is "fifty-three million, nine hundred sixty thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 145 174 232 240 290 348 435 464 580 696 870 1160 1392 1740 2320 3480 6960 7753 15506 23259 31012 38765 46518 62024 77530 93036 116295 124048 155060 186072 224837 232590 310120 372144 449674 465180 620240 674511 899348 930360 1124185 1349022 1798696 1860720 2248370 2698044 3372555 3597392 4496740 5396088 6745110 8993480 10792176 13490220 17986960 26980440 53960880