Search a number
-
+
53070720 = 2735131211
BaseRepresentation
bin1100101001110…
…0101110000000
310200212021100020
43022130232000
5102041230340
65133253440
71213044063
oct312345600
9120767306
1053070720
1127a588aa
1215934280
13acc1cc1
1470968da
1549d49d0
hex329cb80

53070720 has 128 divisors (see below), whose sum is σ = 171262080. Its totient is φ = 13977600.

The previous prime is 53070709. The next prime is 53070727. The reversal of 53070720 is 2707035.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53070727) by changing a digit.

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, 251415 + ... + 251625.

It is an arithmetic number, because the mean of its divisors is an integer number (1337985).

Almost surely, 253070720 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 53070720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85631040).

53070720 is an abundant number, since it is smaller than the sum of its proper divisors (118191360).

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

53070720 is a wasteful number, since it uses less digits than its factorization.

53070720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 24.

The square root of 53070720 is about 7284.9653396567. The cubic root of 53070720 is about 375.7955731974.

Adding to 53070720 its reverse (2707035), we get a palindrome (55777755).

The spelling of 53070720 in words is "fifty-three million, seventy thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 131 160 192 211 240 262 320 384 393 422 480 524 633 640 655 786 844 960 1048 1055 1266 1310 1572 1688 1920 1965 2096 2110 2532 2620 3144 3165 3376 3930 4192 4220 5064 5240 6288 6330 6752 7860 8384 8440 10128 10480 12576 12660 13504 15720 16768 16880 20256 20960 25152 25320 27008 27641 31440 33760 40512 41920 50304 50640 55282 62880 67520 81024 82923 83840 101280 110564 125760 135040 138205 165846 202560 221128 251520 276410 331692 405120 414615 442256 552820 663384 829230 884512 1105640 1326768 1658460 1769024 2211280 2653536 3316920 3538048 4422560 5307072 6633840 8845120 10614144 13267680 17690240 26535360 53070720