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2117424 = 243311423
BaseRepresentation
bin1000000100111100110000
310222120120010
420010330300
51020224144
6113214520
723666151
oct10047460
93876503
102117424
111216941
12861440
13591a1a
143d1928
152bc5b9
hex204f30

2117424 has 40 divisors (see below), whose sum is σ = 5650432. Its totient is φ = 682560.

The previous prime is 2117419. The next prime is 2117429. The reversal of 2117424 is 4247112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2117419) and next prime (2117429).

It is a self number, because there is not a number n which added to its sum of digits gives 2117424.

It is not an unprimeable number, because it can be changed into a prime (2117429) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 777 + ... + 2199.

22117424 is an apocalyptic number.

2117424 is a gapful number since it is divisible by the number (24) 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 2117424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2825216).

2117424 is an abundant number, since it is smaller than the sum of its proper divisors (3533008).

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

2117424 is a wasteful number, since it uses less digits than its factorization.

2117424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1465 (or 1459 counting only the distinct ones).

The product of its digits is 448, while the sum is 21.

The square root of 2117424 is about 1455.1371069422. The cubic root of 2117424 is about 128.4111130607.

The spelling of 2117424 in words is "two million, one hundred seventeen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 1423 1488 2846 4269 5692 8538 11384 17076 22768 34152 44113 68304 88226 132339 176452 264678 352904 529356 705808 1058712 2117424