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37006068 = 22311377577
BaseRepresentation
bin1000110100101…
…0101011110100
32120122002210010
42031022223310
533433143233
63401100220
7626355261
oct215125364
976562703
1037006068
1119986230
1210487670
137888ba8
144cb4268
1533aeb63
hex234aaf4

37006068 has 48 divisors (see below), whose sum is σ = 96755904. Its totient is φ = 10909440.

The previous prime is 37006051. The next prime is 37006121. The reversal of 37006068 is 86060073.

37006068 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1096 + ... + 8672.

It is an arithmetic number, because the mean of its divisors is an integer number (2015748).

Almost surely, 237006068 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 37006068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48377952).

37006068 is an abundant number, since it is smaller than the sum of its proper divisors (59749836).

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

37006068 is a wasteful number, since it uses less digits than its factorization.

37006068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7632 (or 7630 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 37006068 is about 6083.2612963771. The cubic root of 37006068 is about 333.2404003150.

The spelling of 37006068 in words is "thirty-seven million, six thousand, sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 132 148 222 407 444 814 1221 1628 2442 4884 7577 15154 22731 30308 45462 83347 90924 166694 250041 280349 333388 500082 560698 841047 1000164 1121396 1682094 3083839 3364188 6167678 9251517 12335356 18503034 37006068