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4206072 = 2331321761
BaseRepresentation
bin10000000010110111111000
321220200122110
4100002313320
52034043242
6230052320
750515413
oct20026770
97820573
104206072
1124130a2
1214aa0a0
13b43600
147b6b7a
1558139c
hex402df8

4206072 has 96 divisors (see below), whose sum is σ = 12253680. Its totient is φ = 1198080.

The previous prime is 4206061. The next prime is 4206091. The reversal of 4206072 is 2706024.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68922 + ... + 68982.

Almost surely, 24206072 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 4206072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6126840).

4206072 is an abundant number, since it is smaller than the sum of its proper divisors (8047608).

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

4206072 is a wasteful number, since it uses less digits than its factorization.

4206072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 4206072 is about 2050.8710344632. The cubic root of 4206072 is about 161.4205790583.

The spelling of 4206072 in words is "four million, two hundred six thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 61 68 78 102 104 122 136 156 169 183 204 221 244 312 338 366 408 442 488 507 663 676 732 793 884 1014 1037 1326 1352 1464 1586 1768 2028 2074 2379 2652 2873 3111 3172 4056 4148 4758 5304 5746 6222 6344 8296 8619 9516 10309 11492 12444 13481 17238 19032 20618 22984 24888 26962 30927 34476 40443 41236 53924 61854 68952 80886 82472 107848 123708 161772 175253 247416 323544 350506 525759 701012 1051518 1402024 2103036 4206072