Search a number
-
+
21607152 = 2437107601
BaseRepresentation
bin101001001101…
…1001011110000
31111122202102220
41102123023300
521012412102
62051041040
7351441420
oct122331360
944582386
1021607152
1111218856
1272a0180
134626ac8
142c26480
151d6c1bc
hex149b2f0

21607152 has 80 divisors (see below), whose sum is σ = 64495872. Its totient is φ = 6105600.

The previous prime is 21607151. The next prime is 21607163. The reversal of 21607152 is 25170612.

It is a super-2 number, since 2×216071522 = 933738035102208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21607151) 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, 35652 + ... + 36252.

Almost surely, 221607152 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 21607152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32247936).

21607152 is an abundant number, since it is smaller than the sum of its proper divisors (42888720).

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

21607152 is a wasteful number, since it uses less digits than its factorization.

21607152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 21607152 is about 4648.3493844590. The cubic root of 21607152 is about 278.5260642576.

Adding to 21607152 its reverse (25170612), we get a palindrome (46777764).

The spelling of 21607152 in words is "twenty-one million, six hundred seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 107 112 168 214 321 336 428 601 642 749 856 1202 1284 1498 1712 1803 2247 2404 2568 2996 3606 4207 4494 4808 5136 5992 7212 8414 8988 9616 11984 12621 14424 16828 17976 25242 28848 33656 35952 50484 64307 67312 100968 128614 192921 201936 257228 385842 450149 514456 771684 900298 1028912 1350447 1543368 1800596 2700894 3086736 3601192 5401788 7202384 10803576 21607152