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17241980 = 22571071151
BaseRepresentation
bin100000111000…
…1011101111100
31012102222112212
41001301131330
513403220410
61413315552
7266361110
oct101613574
935388485
1017241980
119807178
125935bb8
133758c72
14240b740
1517a8b05
hex107177c

17241980 has 48 divisors (see below), whose sum is σ = 41803776. Its totient is φ = 5851200.

The previous prime is 17241953. The next prime is 17241989. The reversal of 17241980 is 8914271.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17241989) 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 15 ways as a sum of consecutive naturals, for example, 14405 + ... + 15555.

It is an arithmetic number, because the mean of its divisors is an integer number (870912).

Almost surely, 217241980 is an apocalyptic number.

17241980 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 17241980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20901888).

17241980 is an abundant number, since it is smaller than the sum of its proper divisors (24561796).

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

17241980 is a wasteful number, since it uses less digits than its factorization.

17241980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 32.

The square root of 17241980 is about 4152.3463246699. The cubic root of 17241980 is about 258.3424133703.

The spelling of 17241980 in words is "seventeen million, two hundred forty-one thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 107 140 214 428 535 749 1070 1151 1498 2140 2302 2996 3745 4604 5755 7490 8057 11510 14980 16114 23020 32228 40285 80570 123157 161140 246314 492628 615785 862099 1231570 1724198 2463140 3448396 4310495 8620990 17241980