Search a number
-
+
2191440 = 243523397
BaseRepresentation
bin1000010111000001010000
311010100002110
420113001100
51030111230
6114545320
724425016
oct10270120
94110073
102191440
111267509
12898240
135b9614
144108b6
152d44b0
hex217050

2191440 has 80 divisors (see below), whose sum is σ = 7106688. Its totient is φ = 557568.

The previous prime is 2191433. The next prime is 2191451. The reversal of 2191440 is 441912.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5322 + ... + 5718.

22191440 is an apocalyptic number.

2191440 is a gapful number since it is divisible by the number (20) 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 2191440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3553344).

2191440 is an abundant number, since it is smaller than the sum of its proper divisors (4915248).

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

2191440 is a wasteful number, since it uses less digits than its factorization.

2191440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 2191440 is about 1480.3513096559. The cubic root of 2191440 is about 129.8902426651.

The spelling of 2191440 in words is "two million, one hundred ninety-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 397 460 552 690 794 920 1104 1191 1380 1588 1840 1985 2382 2760 3176 3970 4764 5520 5955 6352 7940 9131 9528 11910 15880 18262 19056 23820 27393 31760 36524 45655 47640 54786 73048 91310 95280 109572 136965 146096 182620 219144 273930 365240 438288 547860 730480 1095720 2191440