Search a number
-
+
2117388 = 2237213277
BaseRepresentation
bin1000000100111100001100
310222120111210
420010330030
51020224023
6113214420
723666100
oct10047414
93876453
102117388
111216909
12861410
135919c0
143d1900
152bc593
hex204f0c

2117388 has 72 divisors (see below), whose sum is σ = 6211632. Its totient is φ = 556416.

The previous prime is 2117369. The next prime is 2117389. The reversal of 2117388 is 8837112.

It is a happy number.

It is a d-powerful number, because it can be written as 25 + 1 + 1 + 7 + 39 + 83 + 87 .

It is not an unprimeable number, because it can be changed into a prime (2117389) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7506 + ... + 7782.

22117388 is an apocalyptic number.

2117388 is a gapful number since it is divisible by the number (28) 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 2117388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3105816).

2117388 is an abundant number, since it is smaller than the sum of its proper divisors (4094244).

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

2117388 is a wasteful number, since it uses less digits than its factorization.

2117388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 302 counting only the distinct ones).

The product of its digits is 2688, while the sum is 30.

The square root of 2117388 is about 1455.1247369212. The cubic root of 2117388 is about 128.4103853170.

The spelling of 2117388 in words is "two million, one hundred seventeen thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 156 182 196 273 277 294 364 546 554 588 637 831 1092 1108 1274 1662 1911 1939 2548 3324 3601 3822 3878 5817 7202 7644 7756 10803 11634 13573 14404 21606 23268 25207 27146 40719 43212 50414 54292 75621 81438 100828 151242 162876 176449 302484 352898 529347 705796 1058694 2117388