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38074140 = 223251353307
BaseRepresentation
bin1001000100111…
…1011100011100
32122122100220100
42101033130130
534221333030
63440021100
7641424216
oct221173434
978570810
1038074140
111a545735
1210901790
137b710a0
1450b15b6
153521360
hex244f71c

38074140 has 144 divisors (see below), whose sum is σ = 127135008. Its totient is φ = 9165312.

The previous prime is 38074139. The next prime is 38074151. The reversal of 38074140 is 4147083.

38074140 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 47 ways as a sum of consecutive naturals, for example, 123867 + ... + 124173.

It is an arithmetic number, because the mean of its divisors is an integer number (882882).

Almost surely, 238074140 is an apocalyptic number.

38074140 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 38074140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63567504).

38074140 is an abundant number, since it is smaller than the sum of its proper divisors (89060868).

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

38074140 is a wasteful number, since it uses less digits than its factorization.

38074140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 38074140 is about 6170.4246207210. The cubic root of 38074140 is about 336.4160450025.

The spelling of 38074140 in words is "thirty-eight million, seventy-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 53 60 65 78 90 106 117 130 156 159 180 195 212 234 260 265 307 318 390 468 477 530 585 614 636 689 780 795 921 954 1060 1170 1228 1378 1535 1590 1842 1908 2067 2340 2385 2756 2763 3070 3180 3445 3684 3991 4134 4605 4770 5526 6140 6201 6890 7982 8268 9210 9540 10335 11052 11973 12402 13780 13815 15964 16271 18420 19955 20670 23946 24804 27630 31005 32542 35919 39910 41340 47892 48813 55260 59865 62010 65084 71838 79820 81355 97626 119730 124020 143676 146439 162710 179595 195252 211523 239460 244065 292878 325420 359190 423046 488130 585756 634569 718380 732195 846092 976260 1057615 1269138 1464390 1903707 2115230 2538276 2928780 3172845 3807414 4230460 6345690 7614828 9518535 12691380 19037070 38074140