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21531120 = 24351367103
BaseRepresentation
bin101001000100…
…0100111110000
31111111220010220
41102020213300
521002443440
62045253040
7351003642
oct122104760
944456126
1021531120
1111176716
127264180
1345cb310
142c06892
151d548d0
hex14889f0

21531120 has 160 divisors (see below), whose sum is σ = 73661952. Its totient is φ = 5170176.

The previous prime is 21531119. The next prime is 21531121. The reversal of 21531120 is 2113512.

It is an interprime number because it is at equal distance from previous prime (21531119) and next prime (21531121).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21531120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21531121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208989 + ... + 209091.

Almost surely, 221531120 is an apocalyptic number.

21531120 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 21531120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36830976).

21531120 is an abundant number, since it is smaller than the sum of its proper divisors (52130832).

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

21531120 is a wasteful number, since it uses less digits than its factorization.

21531120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 21531120 is about 4640.1637902126. The cubic root of 21531120 is about 278.1989845678.

Adding to 21531120 its reverse (2113512), we get a palindrome (23644632).

The spelling of 21531120 in words is "twenty-one million, five hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 67 78 80 103 104 120 130 134 156 195 201 206 208 240 260 268 309 312 335 390 402 412 515 520 536 618 624 670 780 804 824 871 1005 1030 1040 1072 1236 1339 1340 1545 1560 1608 1648 1742 2010 2060 2472 2613 2678 2680 3090 3120 3216 3484 4017 4020 4120 4355 4944 5226 5356 5360 6180 6695 6901 6968 8034 8040 8240 8710 10452 10712 12360 13065 13390 13802 13936 16068 16080 17420 20085 20703 20904 21424 24720 26130 26780 27604 32136 34505 34840 40170 41406 41808 52260 53560 55208 64272 69010 69680 80340 82812 89713 103515 104520 107120 110416 138020 160680 165624 179426 207030 209040 269139 276040 321360 331248 358852 414060 448565 538278 552080 717704 828120 897130 1076556 1345695 1435408 1656240 1794260 2153112 2691390 3588520 4306224 5382780 7177040 10765560 21531120