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51132720 = 2435257829
BaseRepresentation
bin1100001100001…
…1100100110000
310120012210220110
43003003210300
5101042221340
65023541320
71160422662
oct303034460
9116183813
1051132720
1126954851
121515a840
13a793b62
146b10532
154750680
hex30c3930

51132720 has 80 divisors (see below), whose sum is σ = 159320160. Its totient is φ = 13565952.

The previous prime is 51132707. The next prime is 51132721. The reversal of 51132720 is 2723115.

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

It is a super-2 number, since 2×511327202 = 5229110109196800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (51132721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61266 + ... + 62094.

It is an arithmetic number, because the mean of its divisors is an integer number (1991502).

Almost surely, 251132720 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 51132720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79660080).

51132720 is an abundant number, since it is smaller than the sum of its proper divisors (108187440).

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

51132720 is a wasteful number, since it uses less digits than its factorization.

51132720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 51132720 is about 7150.7146495997. The cubic root of 51132720 is about 371.1643863846.

Adding to 51132720 its reverse (2723115), we get a palindrome (53855835).

The spelling of 51132720 in words is "fifty-one million, one hundred thirty-two thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 257 514 771 829 1028 1285 1542 1658 2056 2487 2570 3084 3316 3855 4112 4145 4974 5140 6168 6632 7710 8290 9948 10280 12336 12435 13264 15420 16580 19896 20560 24870 30840 33160 39792 49740 61680 66320 99480 198960 213053 426106 639159 852212 1065265 1278318 1704424 2130530 2556636 3195795 3408848 4261060 5113272 6391590 8522120 10226544 12783180 17044240 25566360 51132720