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17072940 = 22353167137
BaseRepresentation
bin100000100100…
…0001100101100
31012010101200010
41001020030230
513332313230
61405533220
7265055223
oct101101454
935111603
1017072940
119701175
125874210
1336ca041
1423a5cba
1517739b0
hex104832c

17072940 has 96 divisors (see below), whose sum is σ = 50448384. Its totient is φ = 4308480.

The previous prime is 17072929. The next prime is 17072941. The reversal of 17072940 is 4927071.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 17072898 and 17072907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17072941) 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, 124552 + ... + 124688.

It is an arithmetic number, because the mean of its divisors is an integer number (525504).

Almost surely, 217072940 is an apocalyptic number.

17072940 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 17072940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25224192).

17072940 is an abundant number, since it is smaller than the sum of its proper divisors (33375444).

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

17072940 is a wasteful number, since it uses less digits than its factorization.

17072940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 17072940 is about 4131.9414323052. The cubic root of 17072940 is about 257.4953780551.

The spelling of 17072940 in words is "seventeen million, seventy-two thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 67 93 124 134 137 155 186 201 268 274 310 335 372 402 411 465 548 620 670 685 804 822 930 1005 1340 1370 1644 1860 2010 2055 2077 2740 4020 4110 4154 4247 6231 8220 8308 8494 9179 10385 12462 12741 16988 18358 20770 21235 24924 25482 27537 31155 36716 41540 42470 45895 50964 55074 62310 63705 84940 91790 110148 124620 127410 137685 183580 254820 275370 284549 550740 569098 853647 1138196 1422745 1707294 2845490 3414588 4268235 5690980 8536470 17072940