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53110320 = 2435192613
BaseRepresentation
bin1100101010011…
…0011000110000
310200221021122220
43022212120300
5102044012240
65134201040
71213300404
oct312463060
9120837586
1053110320
1127a8562a
1215953180
13b007033
1470a7104
1549e15d0
hex32a6630

53110320 has 120 divisors (see below), whose sum is σ = 174046896. Its totient is φ = 13395456.

The previous prime is 53110307. The next prime is 53110333. The reversal of 53110320 is 2301135.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (53110307) and next prime (53110333).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 53110320.

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 23 ways as a sum of consecutive naturals, for example, 86334 + ... + 86946.

Almost surely, 253110320 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 53110320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87023448).

53110320 is an abundant number, since it is smaller than the sum of its proper divisors (120936576).

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

53110320 is a wasteful number, since it uses less digits than its factorization.

53110320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 53110320 is about 7287.6827592864. The cubic root of 53110320 is about 375.8890196077.

Adding to 53110320 its reverse (2301135), we get a palindrome (55411455).

The spelling of 53110320 in words is "fifty-three million, one hundred ten thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 361 380 456 570 613 722 760 912 1083 1140 1226 1444 1520 1805 1839 2166 2280 2452 2888 3065 3610 3678 4332 4560 4904 5415 5776 6130 7220 7356 8664 9195 9808 10830 11647 12260 14440 14712 17328 18390 21660 23294 24520 28880 29424 34941 36780 43320 46588 49040 58235 69882 73560 86640 93176 116470 139764 147120 174705 186352 221293 232940 279528 349410 442586 465880 559056 663879 698820 885172 931760 1106465 1327758 1397640 1770344 2212930 2655516 2795280 3319395 3540688 4425860 5311032 6638790 8851720 10622064 13277580 17703440 26555160 53110320