Search a number
-
+
53367080 = 23513176037
BaseRepresentation
bin1100101110010…
…1000100101000
310201102022212112
43023211010220
5102130221310
65143501452
71215420104
oct313450450
9121368775
1053367080
1128140528
1215a57888
13b096b70
147132904
154a42705
hex32e5128

53367080 has 64 divisors (see below), whose sum is σ = 136941840. Its totient is φ = 18542592.

The previous prime is 53367077. The next prime is 53367101. The reversal of 53367080 is 8076335.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 12432676 + 40934404 = 3526^2 + 6398^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5822 + ... + 11858.

Almost surely, 253367080 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 53367080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68470920).

53367080 is an abundant number, since it is smaller than the sum of its proper divisors (83574760).

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

53367080 is a wasteful number, since it uses less digits than its factorization.

53367080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6078 (or 6074 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 53367080 is about 7305.2775443511. The cubic root of 53367080 is about 376.4937868862.

The spelling of 53367080 in words is "fifty-three million, three hundred sixty-seven thousand, eighty".

Divisors: 1 2 4 5 8 10 13 17 20 26 34 40 52 65 68 85 104 130 136 170 221 260 340 442 520 680 884 1105 1768 2210 4420 6037 8840 12074 24148 30185 48296 60370 78481 102629 120740 156962 205258 241480 313924 392405 410516 513145 627848 784810 821032 1026290 1334177 1569620 2052580 2668354 3139240 4105160 5336708 6670885 10673416 13341770 26683540 53367080