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51214120 = 2351979853
BaseRepresentation
bin1100001101011…
…1011100101000
310120100221120021
43003113130220
5101102322440
65025410224
71161212206
oct303273450
9116327507
1051214120
11269aaa21
1215199974
13a7c1c19
146b32076
15476984a
hex30d7728

51214120 has 64 divisors (see below), whose sum is σ = 122976000. Its totient is φ = 19139328.

The previous prime is 51214109. The next prime is 51214127. The reversal of 51214120 is 2141215.

51214120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 51214094 and 51214103.

It is not an unprimeable number, because it can be changed into a prime (51214127) 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, 59614 + ... + 60466.

It is an arithmetic number, because the mean of its divisors is an integer number (1921500).

Almost surely, 251214120 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 51214120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61488000).

51214120 is an abundant number, since it is smaller than the sum of its proper divisors (71761880).

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

51214120 is a wasteful number, since it uses less digits than its factorization.

51214120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 51214120 is about 7156.4041249779. The cubic root of 51214120 is about 371.3612385695.

Adding to 51214120 its reverse (2141215), we get a palindrome (53355335).

The spelling of 51214120 in words is "fifty-one million, two hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 79 95 152 158 190 316 380 395 632 760 790 853 1501 1580 1706 3002 3160 3412 4265 6004 6824 7505 8530 12008 15010 16207 17060 30020 32414 34120 60040 64828 67387 81035 129656 134774 162070 269548 324140 336935 539096 648280 673870 1280353 1347740 2560706 2695480 5121412 6401765 10242824 12803530 25607060 51214120