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17994240 = 293251171
BaseRepresentation
bin100010010100…
…1001000000000
31020212012110100
41010221020000
514101303430
61441402400
7305643225
oct104511000
936765410
1017994240
11a180380
126039400
1339604a4
14256594c
1518a6960
hex1129200

17994240 has 240 divisors, whose sum is σ = 68942016. Its totient is φ = 4300800.

The previous prime is 17994209. The next prime is 17994259. The reversal of 17994240 is 4249971.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 17994195 and 17994204.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 253405 + ... + 253475.

Almost surely, 217994240 is an apocalyptic number.

17994240 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 17994240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34471008).

17994240 is an abundant number, since it is smaller than the sum of its proper divisors (50947776).

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

17994240 is a wasteful number, since it uses less digits than its factorization.

17994240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 17994240 is about 4241.9618102949. The cubic root of 17994240 is about 262.0461818637.

The spelling of 17994240 in words is "seventeen million, nine hundred ninety-four thousand, two hundred forty".