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37668380 = 2252278297
BaseRepresentation
bin1000111110110…
…0011000011100
32121212202022012
42033230120130
534120342010
63423210352
7635114231
oct217543034
977782265
1037668380
111a2988a2
12107469b8
137a5b4a9
145007788
153491005
hex23ec61c

37668380 has 24 divisors (see below), whose sum is σ = 79461648. Its totient is φ = 14999168.

The previous prime is 37668349. The next prime is 37668383. The reversal of 37668380 is 8386673.

37668380 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 not an unprimeable number, because it can be changed into a prime (37668383) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 392 + ... + 8688.

It is an arithmetic number, because the mean of its divisors is an integer number (3310902).

Almost surely, 237668380 is an apocalyptic number.

It is an amenable number.

37668380 is an abundant number, since it is smaller than the sum of its proper divisors (41793268).

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

37668380 is a wasteful number, since it uses less digits than its factorization.

37668380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8533 (or 8531 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 41.

The square root of 37668380 is about 6137.4571281598. The cubic root of 37668380 is about 335.2167009600.

The spelling of 37668380 in words is "thirty-seven million, six hundred sixty-eight thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 227 454 908 1135 2270 4540 8297 16594 33188 41485 82970 165940 1883419 3766838 7533676 9417095 18834190 37668380