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51207040 = 275293189
BaseRepresentation
bin1100001101010…
…1101110000000
310120100120212001
43003111232000
5101102111130
65025313344
71161152443
oct303255600
9116316761
1051207040
11269a5675
1215195854
13a7bb931
146b2d65a
1547676ca
hex30d5b80

51207040 has 128 divisors (see below), whose sum is σ = 132192000. Its totient is φ = 18923520.

The previous prime is 51207029. The next prime is 51207041. The reversal of 51207040 is 4070215.

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

51207040 is a modest number, since divided by 7040 gives 5120 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 51206999 and 51207017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51207041) 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, 575316 + ... + 575404.

It is an arithmetic number, because the mean of its divisors is an integer number (1032750).

Almost surely, 251207040 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 51207040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66096000).

51207040 is an abundant number, since it is smaller than the sum of its proper divisors (80984960).

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

51207040 is a wasteful number, since it uses less digits than its factorization.

51207040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 19.

The square root of 51207040 is about 7155.9094460453. The cubic root of 51207040 is about 371.3441250681.

Adding to 51207040 its reverse (4070215), we get a palindrome (55277255).

The spelling of 51207040 in words is "fifty-one million, two hundred seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 29 31 32 40 58 62 64 80 89 116 124 128 145 155 160 178 232 248 290 310 320 356 445 464 496 580 620 640 712 890 899 928 992 1160 1240 1424 1780 1798 1856 1984 2320 2480 2581 2759 2848 3560 3596 3712 3968 4495 4640 4960 5162 5518 5696 7120 7192 8990 9280 9920 10324 11036 11392 12905 13795 14240 14384 17980 18560 19840 20648 22072 25810 27590 28480 28768 35960 41296 44144 51620 55180 56960 57536 71920 80011 82592 88288 103240 110360 115072 143840 160022 165184 176576 206480 220720 287680 320044 330368 353152 400055 412960 441440 575360 640088 800110 825920 882880 1280176 1600220 1651840 1765760 2560352 3200440 5120704 6400880 10241408 12801760 25603520 51207040