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4023072 = 253261229
BaseRepresentation
bin1111010110001100100000
321120101121200
433112030200
52012214242
6222121200
746124034
oct17261440
97511550
104023072
1122a8659
121420200
13aab221
1476a1c4
1554704c
hex3d6320

4023072 has 72 divisors (see below), whose sum is σ = 11678940. Its totient is φ = 1313280.

The previous prime is 4023053. The next prime is 4023109. The reversal of 4023072 is 2703204.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4016016 + 7056 = 2004^2 + 84^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17454 + ... + 17682.

Almost surely, 24023072 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 4023072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5839470).

4023072 is an abundant number, since it is smaller than the sum of its proper divisors (7655868).

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

4023072 is a wasteful number, since it uses less digits than its factorization.

4023072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 4023072 is about 2005.7597064454. The cubic root of 4023072 is about 159.0447245728.

Adding to 4023072 its reverse (2703204), we get a palindrome (6726276).

The spelling of 4023072 in words is "four million, twenty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 72 96 122 144 183 229 244 288 366 458 488 549 687 732 916 976 1098 1374 1464 1832 1952 2061 2196 2748 2928 3664 4122 4392 5496 5856 7328 8244 8784 10992 13969 16488 17568 21984 27938 32976 41907 55876 65952 83814 111752 125721 167628 223504 251442 335256 447008 502884 670512 1005768 1341024 2011536 4023072