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4006068 = 2231123189
BaseRepresentation
bin1111010010000010110100
321112112021220
433102002310
52011143233
6221510340
746023333
oct17220264
97475256
104006068
112296900
1214123b0
13aa3571
14763d1a
15541eb3
hex3d20b4

4006068 has 72 divisors (see below), whose sum is σ = 10725120. Its totient is φ = 1161600.

The previous prime is 4006063. The next prime is 4006091. The reversal of 4006068 is 8606004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4006063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44968 + ... + 45056.

It is an arithmetic number, because the mean of its divisors is an integer number (148960).

Almost surely, 24006068 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 4006068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5362560).

4006068 is an abundant number, since it is smaller than the sum of its proper divisors (6719052).

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

4006068 is a wasteful number, since it uses less digits than its factorization.

4006068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 4006068 is about 2001.5164251137. The cubic root of 4006068 is about 158.8203342212.

The spelling of 4006068 in words is "four million, six thousand, sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 89 93 121 124 132 178 186 242 267 341 356 363 372 484 534 682 726 979 1023 1068 1364 1452 1958 2046 2759 2937 3751 3916 4092 5518 5874 7502 8277 10769 11036 11253 11748 15004 16554 21538 22506 30349 32307 33108 43076 45012 60698 64614 91047 121396 129228 182094 333839 364188 667678 1001517 1335356 2003034 4006068