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38640140 = 22571122281
BaseRepresentation
bin1001001101100…
…1101000001100
32200201010022022
42103121220030
534342441030
63500105312
7646302320
oct223315014
980633268
1038640140
111a8a1a00
1210b35238
13800b8b6
1451bb980
1535d3de5
hex24d9a0c

38640140 has 72 divisors (see below), whose sum is σ = 101978016. Its totient is φ = 12038400.

The previous prime is 38640139. The next prime is 38640143. The reversal of 38640140 is 4104683.

It is not an unprimeable number, because it can be changed into a prime (38640143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15800 + ... + 18080.

Almost surely, 238640140 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 38640140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50989008).

38640140 is an abundant number, since it is smaller than the sum of its proper divisors (63337876).

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

38640140 is a wasteful number, since it uses less digits than its factorization.

38640140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2319 (or 2306 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 38640140 is about 6216.1193682232. The cubic root of 38640140 is about 338.0748757476.

The spelling of 38640140 in words is "thirty-eight million, six hundred forty thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 121 140 154 220 242 308 385 484 605 770 847 1210 1540 1694 2281 2420 3388 4235 4562 8470 9124 11405 15967 16940 22810 25091 31934 45620 50182 63868 79835 100364 125455 159670 175637 250910 276001 319340 351274 501820 552002 702548 878185 1104004 1380005 1756370 1932007 2760010 3512740 3864014 5520020 7728028 9660035 19320070 38640140