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4020576 = 253731193
BaseRepresentation
bin1111010101100101100000
321120021012020
433111211200
52012124301
6222101440
746113540
oct17254540
97507166
104020576
1122a679a
12141a880
13aaa051
14769320
15546436
hex3d5960

4020576 has 96 divisors (see below), whose sum is σ = 12515328. Its totient is φ = 1105920.

The previous prime is 4020563. The next prime is 4020587. The reversal of 4020576 is 6750204.

It is a happy number.

4020576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20736 + ... + 20928.

It is an arithmetic number, because the mean of its divisors is an integer number (130368).

Almost surely, 24020576 is an apocalyptic number.

4020576 is the 1158-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4020576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6257664).

4020576 is an abundant number, since it is smaller than the sum of its proper divisors (8494752).

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

4020576 is a wasteful number, since it uses less digits than its factorization.

4020576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 4020576 is about 2005.1374017757. The cubic root of 4020576 is about 159.0118261842.

The spelling of 4020576 in words is "four million, twenty thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 84 93 96 112 124 168 186 193 217 224 248 336 372 386 434 496 579 651 672 744 772 868 992 1158 1302 1351 1488 1544 1736 2316 2604 2702 2976 3088 3472 4053 4632 5208 5404 5983 6176 6944 8106 9264 10416 10808 11966 16212 17949 18528 20832 21616 23932 32424 35898 41881 43232 47864 64848 71796 83762 95728 125643 129696 143592 167524 191456 251286 287184 335048 502572 574368 670096 1005144 1340192 2010288 4020576