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51107000 = 235373149
BaseRepresentation
bin1100001011110…
…1010010111000
310120011111121212
43002331102320
5101040411000
65023222252
71160255000
oct302752270
9116144555
1051107000
112693749a
1215147988
13a785239
146b05000
154747c35
hex30bd4b8

51107000 has 128 divisors (see below), whose sum is σ = 140400000. Its totient is φ = 17404800.

The previous prime is 51106969. The next prime is 51107009. The reversal of 51107000 is 70115.

51107000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×511070002 = 5223850898000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51107009) 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 31 ways as a sum of consecutive naturals, for example, 342926 + ... + 343074.

It is an arithmetic number, because the mean of its divisors is an integer number (1096875).

Almost surely, 251107000 is an apocalyptic number.

51107000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51107000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70200000).

51107000 is an abundant number, since it is smaller than the sum of its proper divisors (89293000).

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

51107000 is a wasteful number, since it uses less digits than its factorization.

51107000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 35, while the sum is 14.

The square root of 51107000 is about 7148.9160017446. The cubic root of 51107000 is about 371.1021434667.

Adding to 51107000 its reverse (70115), we get a palindrome (51177115).

The spelling of 51107000 in words is "fifty-one million, one hundred seven thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 125 140 149 175 196 200 245 250 280 298 343 350 392 490 500 596 686 700 745 875 980 1000 1043 1192 1225 1372 1400 1490 1715 1750 1960 2086 2450 2744 2980 3430 3500 3725 4172 4900 5215 5960 6125 6860 7000 7301 7450 8344 8575 9800 10430 12250 13720 14602 14900 17150 18625 20860 24500 26075 29204 29800 34300 36505 37250 41720 42875 49000 51107 52150 58408 68600 73010 74500 85750 102214 104300 130375 146020 149000 171500 182525 204428 208600 255535 260750 292040 343000 365050 408856 511070 521500 730100 912625 1022140 1043000 1277675 1460200 1825250 2044280 2555350 3650500 5110700 6388375 7301000 10221400 12776750 25553500 51107000