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53076720 = 24351713009
BaseRepresentation
bin1100101001111…
…0001011110000
310200212120120110
43022132023300
5102041423340
65133341320
71213100424
oct312361360
9120776513
1053076720
1127a62364
1215937840
13acc4958
147098b84
1549d6680
hex329e2f0

53076720 has 80 divisors (see below), whose sum is σ = 174229920. Its totient is φ = 13320192.

The previous prime is 53076719. The next prime is 53076721. The reversal of 53076720 is 2767035.

53076720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (53076719) and next prime (53076721).

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53076721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2425 + ... + 10584.

It is an arithmetic number, because the mean of its divisors is an integer number (2177874).

Almost surely, 253076720 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 53076720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87114960).

53076720 is an abundant number, since it is smaller than the sum of its proper divisors (121153200).

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

53076720 is a wasteful number, since it uses less digits than its factorization.

53076720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13042 (or 13036 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 30.

The square root of 53076720 is about 7285.3771350562. The cubic root of 53076720 is about 375.8097347317.

The spelling of 53076720 in words is "fifty-three million, seventy-six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 2040 4080 13009 26018 39027 52036 65045 78054 104072 130090 156108 195135 208144 221153 260180 312216 390270 442306 520360 624432 663459 780540 884612 1040720 1105765 1326918 1561080 1769224 2211530 2653836 3122160 3317295 3538448 4423060 5307672 6634590 8846120 10615344 13269180 17692240 26538360 53076720