Search a number
-
+
17220240 = 2432523917
BaseRepresentation
bin100000110110…
…0001010010000
31012101212201200
41001230022100
513402021430
61413031200
7266240532
oct101541220
935355650
1017220240
1197a1904
125925500
13374c0bb
142403852
1517a2460
hex106c290

17220240 has 60 divisors (see below), whose sum is σ = 57833724. Its totient is φ = 4591872.

The previous prime is 17220227. The next prime is 17220241. The reversal of 17220240 is 4202271.

It can be written as a sum of positive squares in 2 ways, for example, as 8363664 + 8856576 = 2892^2 + 2976^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17220241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11239 + ... + 12678.

Almost surely, 217220240 is an apocalyptic number.

17220240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

17220240 is an abundant number, since it is smaller than the sum of its proper divisors (40613484).

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

17220240 is a wasteful number, since it uses less digits than its factorization.

17220240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23936 (or 23927 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 17220240 is about 4149.7277019101. The cubic root of 17220240 is about 258.2337884476.

The spelling of 17220240 in words is "seventeen million, two hundred twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 23917 47834 71751 95668 119585 143502 191336 215253 239170 287004 358755 382672 430506 478340 574008 717510 861012 956680 1076265 1148016 1435020 1722024 1913360 2152530 2870040 3444048 4305060 5740080 8610120 17220240