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17393130 = 2345109197
BaseRepresentation
bin100001001011…
…0010111101010
31012201122220000
41002112113222
513423040010
61420443430
7300560556
oct102262752
935648800
1017393130
1198aa797
1259a9576
1337ac9c1
14244a866
1517d87c0
hex10965ea

17393130 has 80 divisors (see below), whose sum is σ = 47436840. Its totient is φ = 4572288.

The previous prime is 17393119. The next prime is 17393147. The reversal of 17393130 is 3139371.

It can be written as a sum of positive squares in 4 ways, for example, as 17363889 + 29241 = 4167^2 + 171^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 17393094 and 17393103.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 88192 + ... + 88388.

Almost surely, 217393130 is an apocalyptic number.

17393130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 17393130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23718420).

17393130 is an abundant number, since it is smaller than the sum of its proper divisors (30043710).

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

17393130 is a wasteful number, since it uses less digits than its factorization.

17393130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 1701, while the sum is 27.

The square root of 17393130 is about 4170.5071634035. The cubic root of 17393130 is about 259.0951286142.

The spelling of 17393130 in words is "seventeen million, three hundred ninety-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 109 135 162 197 218 270 327 394 405 545 591 654 810 981 985 1090 1182 1635 1773 1962 1970 2943 2955 3270 3546 4905 5319 5886 5910 8829 8865 9810 10638 14715 15957 17658 17730 21473 26595 29430 31914 42946 44145 53190 64419 79785 88290 107365 128838 159570 193257 214730 322095 386514 579771 644190 966285 1159542 1739313 1932570 2898855 3478626 5797710 8696565 17393130