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39073020 = 22357313001
BaseRepresentation
bin1001010100001…
…1010011111100
32201112010002220
42111003103330
540000314040
63513245340
7653054340
oct225032374
981463086
1039073020
1120068158
1211103850
13813093c
145291620
15366c2d0
hex25434fc

39073020 has 96 divisors (see below), whose sum is σ = 129110016. Its totient is φ = 8640000.

The previous prime is 39073009. The next prime is 39073037. The reversal of 39073020 is 2037093.

39073020 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 31 ways as a sum of consecutive naturals, for example, 11520 + ... + 14520.

It is an arithmetic number, because the mean of its divisors is an integer number (1344896).

Almost surely, 239073020 is an apocalyptic number.

39073020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39073020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64555008).

39073020 is an abundant number, since it is smaller than the sum of its proper divisors (90036996).

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

39073020 is a wasteful number, since it uses less digits than its factorization.

39073020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3051 (or 3049 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 24.

The square root of 39073020 is about 6250.8415433444. The cubic root of 39073020 is about 339.3326587253.

The spelling of 39073020 in words is "thirty-nine million, seventy-three thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 31 35 42 60 62 70 84 93 105 124 140 155 186 210 217 310 372 420 434 465 620 651 868 930 1085 1302 1860 2170 2604 3001 3255 4340 6002 6510 9003 12004 13020 15005 18006 21007 30010 36012 42014 45015 60020 63021 84028 90030 93031 105035 126042 180060 186062 210070 252084 279093 315105 372124 420140 465155 558186 630210 651217 930310 1116372 1260420 1302434 1395465 1860620 1953651 2604868 2790930 3256085 3907302 5581860 6512170 7814604 9768255 13024340 19536510 39073020