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51316160 = 265731739
BaseRepresentation
bin1100001111000…
…0010111000000
310120120010112112
43003300113000
5101114104120
65031514452
71162115540
oct303602700
9116503475
1051316160
1126a6a655
1215228a28
13a8294bc
146b5b320
154789bc5
hex30f05c0

51316160 has 112 divisors (see below), whose sum is σ = 144353280. Its totient is φ = 17003520.

The previous prime is 51316147. The next prime is 51316163. The reversal of 51316160 is 6161315.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51316163) 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, 69071 + ... + 69809.

Almost surely, 251316160 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 51316160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72176640).

51316160 is an abundant number, since it is smaller than the sum of its proper divisors (93037120).

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

51316160 is a wasteful number, since it uses less digits than its factorization.

51316160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 51316160 is about 7163.5298561533. The cubic root of 51316160 is about 371.6077107135.

Adding to 51316160 its reverse (6161315), we get a palindrome (57477475).

The spelling of 51316160 in words is "fifty-one million, three hundred sixteen thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 56 62 64 70 80 112 124 140 155 160 217 224 248 280 310 320 434 448 496 560 620 739 868 992 1085 1120 1240 1478 1736 1984 2170 2240 2480 2956 3472 3695 4340 4960 5173 5912 6944 7390 8680 9920 10346 11824 13888 14780 17360 20692 22909 23648 25865 29560 34720 41384 45818 47296 51730 59120 69440 82768 91636 103460 114545 118240 160363 165536 183272 206920 229090 236480 320726 331072 366544 413840 458180 641452 733088 801815 827680 916360 1282904 1466176 1603630 1655360 1832720 2565808 3207260 3665440 5131616 6414520 7330880 10263232 12829040 25658080 51316160