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2111472 = 2432113143
BaseRepresentation
bin1000000011011111110000
310222021101200
420003133300
51020031342
6113131200
723642616
oct10033760
93867350
102111472
111212420
12859b00
1358c0bc
143cd6b6
152ba94c
hex2037f0

2111472 has 120 divisors (see below), whose sum is σ = 6809088. Its totient is φ = 604800.

The previous prime is 2111471. The next prime is 2111491. The reversal of 2111472 is 2741112.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2111471) 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, 49083 + ... + 49125.

22111472 is an apocalyptic number.

2111472 is a gapful number since it is divisible by the number (22) 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 2111472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3404544).

2111472 is an abundant number, since it is smaller than the sum of its proper divisors (4697616).

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

2111472 is a wasteful number, since it uses less digits than its factorization.

2111472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 90 counting only the distinct ones).

The product of its digits is 112, while the sum is 18.

The square root of 2111472 is about 1453.0904995904. The cubic root of 2111472 is about 128.2906805276.

Adding to 2111472 its reverse (2741112), we get a palindrome (4852584).

The spelling of 2111472 in words is "two million, one hundred eleven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 31 33 36 43 44 48 62 66 72 86 88 93 99 124 129 132 144 172 176 186 198 248 258 264 279 341 344 372 387 396 473 496 516 528 558 682 688 744 774 792 946 1023 1032 1116 1333 1364 1419 1488 1548 1584 1892 2046 2064 2232 2666 2728 2838 3069 3096 3784 3999 4092 4257 4464 5332 5456 5676 6138 6192 7568 7998 8184 8514 10664 11352 11997 12276 14663 15996 16368 17028 21328 22704 23994 24552 29326 31992 34056 43989 47988 49104 58652 63984 68112 87978 95976 117304 131967 175956 191952 234608 263934 351912 527868 703824 1055736 2111472