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2113540 = 2251113739
BaseRepresentation
bin1000000100000000000100
310222101020021
420010000010
51020113130
6113144524
723651632
oct10040004
93871207
102113540
111213a30
1285b144
13590020
143d0352
152bb37a
hex204004

2113540 has 48 divisors (see below), whose sum is σ = 5221440. Its totient is φ = 708480.

The previous prime is 2113523. The next prime is 2113567. The reversal of 2113540 is 453112.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2491 + ... + 3229.

It is an arithmetic number, because the mean of its divisors is an integer number (108780).

22113540 is an apocalyptic number.

2113540 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 2113540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2610720).

2113540 is an abundant number, since it is smaller than the sum of its proper divisors (3107900).

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

2113540 is a wasteful number, since it uses less digits than its factorization.

2113540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 2113540 is about 1453.8019122288. The cubic root of 2113540 is about 128.3325499849.

Adding to 2113540 its reverse (453112), we get a palindrome (2566652).

The spelling of 2113540 in words is "two million, one hundred thirteen thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 572 715 739 1430 1478 2860 2956 3695 7390 8129 9607 14780 16258 19214 32516 38428 40645 48035 81290 96070 105677 162580 192140 211354 422708 528385 1056770 2113540