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21407112 = 23332331139
BaseRepresentation
bin101000110101…
…0010110001000
31111021121001000
41101222112020
520440011422
62042455000
7346646256
oct121522610
944247030
1021407112
11110a1531
127204460
134586a3c
142bb35d6
151d2ccac
hex146a588

21407112 has 128 divisors (see below), whose sum is σ = 64512000. Its totient is φ = 6557760.

The previous prime is 21407101. The next prime is 21407117. The reversal of 21407112 is 21170412.

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

It is not an unprimeable number, because it can be changed into a prime (21407117) 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, 153939 + ... + 154077.

It is an arithmetic number, because the mean of its divisors is an integer number (504000).

Almost surely, 221407112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21407112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32256000).

21407112 is an abundant number, since it is smaller than the sum of its proper divisors (43104888).

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

21407112 is a wasteful number, since it uses less digits than its factorization.

21407112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 198 counting only the distinct ones).

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

The square root of 21407112 is about 4626.7820350650. The cubic root of 21407112 is about 277.6638623153.

Adding to 21407112 its reverse (21170412), we get a palindrome (42577524).

The spelling of 21407112 in words is "twenty-one million, four hundred seven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 31 36 46 54 62 69 72 92 93 108 124 138 139 184 186 207 216 248 276 278 279 372 414 417 552 556 558 621 713 744 828 834 837 1112 1116 1242 1251 1426 1656 1668 1674 2139 2232 2484 2502 2852 3197 3336 3348 3753 4278 4309 4968 5004 5704 6394 6417 6696 7506 8556 8618 9591 10008 12788 12834 12927 15012 17112 17236 19182 19251 25576 25668 25854 28773 30024 34472 38364 38502 38781 51336 51708 57546 76728 77004 77562 86319 99107 103416 115092 116343 154008 155124 172638 198214 230184 232686 297321 310248 345276 396428 465372 594642 690552 792856 891963 930744 1189284 1783926 2378568 2675889 3567852 5351778 7135704 10703556 21407112