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17157140 = 22571113857
BaseRepresentation
bin100000101110…
…0110000010100
31012021200011122
41001130300110
513343012030
61411423112
7265555550
oct101346024
935250148
1017157140
119759460
1258b4a98
133729470
1423c8860
15178d8e5
hex105cc14

17157140 has 96 divisors (see below), whose sum is σ = 48432384. Its totient is φ = 4930560.

The previous prime is 17157139. The next prime is 17157143. The reversal of 17157140 is 4175171.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17157143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19592 + ... + 20448.

It is an arithmetic number, because the mean of its divisors is an integer number (504504).

Almost surely, 217157140 is an apocalyptic number.

17157140 is a gapful number since it is divisible by the number (10) 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 17157140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24216192).

17157140 is an abundant number, since it is smaller than the sum of its proper divisors (31275244).

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

17157140 is a wasteful number, since it uses less digits than its factorization.

17157140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 26.

The square root of 17157140 is about 4142.1178158039. The cubic root of 17157140 is about 257.9179876741.

The spelling of 17157140 in words is "seventeen million, one hundred fifty-seven thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 130 140 143 154 182 220 260 286 308 364 385 455 572 715 770 857 910 1001 1430 1540 1714 1820 2002 2860 3428 4004 4285 5005 5999 8570 9427 10010 11141 11998 17140 18854 20020 22282 23996 29995 37708 44564 47135 55705 59990 65989 77987 94270 111410 119980 122551 131978 155974 188540 222820 245102 263956 311948 329945 389935 490204 612755 659890 779870 857857 1225510 1319780 1559740 1715714 2451020 3431428 4289285 8578570 17157140