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21001120 = 2557171103
BaseRepresentation
bin101000000011…
…1001110100000
31110111222010021
41100013032200
520334013440
62030043224
7343335520
oct120071640
943458107
1021001120
11109444a8
127049514
134473cca
142b09680
151c9c84a
hex14073a0

21001120 has 96 divisors (see below), whose sum is σ = 60092928. Its totient is φ = 6770688.

The previous prime is 21001117. The next prime is 21001121. The reversal of 21001120 is 2110012.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is not an unprimeable number, because it can be changed into a prime (21001121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18489 + ... + 19591.

It is an arithmetic number, because the mean of its divisors is an integer number (625968).

Almost surely, 221001120 is an apocalyptic number.

21001120 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 21001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30046464).

21001120 is an abundant number, since it is smaller than the sum of its proper divisors (39091808).

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

21001120 is a wasteful number, since it uses less digits than its factorization.

21001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 21001120 is about 4582.6978953451. The cubic root of 21001120 is about 275.8973223050.

Adding to 21001120 its reverse (2110012), we get a palindrome (23111132).

The spelling of 21001120 in words is "twenty-one million, one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 32 34 35 40 56 68 70 80 85 112 119 136 140 160 170 224 238 272 280 340 476 544 560 595 680 952 1103 1120 1190 1360 1904 2206 2380 2720 3808 4412 4760 5515 7721 8824 9520 11030 15442 17648 18751 19040 22060 30884 35296 37502 38605 44120 61768 75004 77210 88240 93755 123536 131257 150008 154420 176480 187510 247072 262514 300016 308840 375020 525028 600032 617680 656285 750040 1050056 1235360 1312570 1500080 2100112 2625140 3000160 4200224 5250280 10500560 21001120