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37689990 = 23513241401
BaseRepresentation
bin1000111111000…
…1101010000110
32121220211221120
42033301222012
534122034430
63423454410
7635234232
oct217615206
977824846
1037689990
111a303058
1210757406
137a68290
1450115c2
153497610
hex23f1a86

37689990 has 64 divisors (see below), whose sum is σ = 98062272. Its totient is φ = 9216000.

The previous prime is 37689983. The next prime is 37690007. The reversal of 37689990 is 9998673.

37689990 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

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 31 ways as a sum of consecutive naturals, for example, 93790 + ... + 94190.

It is an arithmetic number, because the mean of its divisors is an integer number (1532223).

Almost surely, 237689990 is an apocalyptic number.

37689990 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 37689990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49031136).

37689990 is an abundant number, since it is smaller than the sum of its proper divisors (60372282).

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

37689990 is a wasteful number, since it uses less digits than its factorization.

37689990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665.

The product of its (nonzero) digits is 734832, while the sum is 51.

The square root of 37689990 is about 6139.2173768323. The cubic root of 37689990 is about 335.2807922755.

The spelling of 37689990 in words is "thirty-seven million, six hundred eighty-nine thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 241 390 401 482 723 802 1203 1205 1446 2005 2406 2410 3133 3615 4010 5213 6015 6266 7230 9399 10426 12030 15639 15665 18798 26065 31278 31330 46995 52130 78195 93990 96641 156390 193282 289923 483205 579846 966410 1256333 1449615 2512666 2899230 3768999 6281665 7537998 12563330 18844995 37689990