Search a number
-
+
38053740 = 22353141499
BaseRepresentation
bin1001000100101…
…0011101101100
32122121022220210
42101022131230
534220204430
63435342420
7641310564
oct221123554
978538823
1038053740
111a53137a
12108b1a10
137b64a0a
1450a7da4
15351a2b0
hex244a76c

38053740 has 96 divisors (see below), whose sum is σ = 112896000. Its totient is φ = 9561600.

The previous prime is 38053739. The next prime is 38053759. The reversal of 38053740 is 4735083.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 38053698 and 38053707.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76011 + ... + 76509.

It is an arithmetic number, because the mean of its divisors is an integer number (1176000).

Almost surely, 238053740 is an apocalyptic number.

38053740 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 38053740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56448000).

38053740 is an abundant number, since it is smaller than the sum of its proper divisors (74842260).

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

38053740 is a wasteful number, since it uses less digits than its factorization.

38053740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 38053740 is about 6168.7713525466. The cubic root of 38053740 is about 336.3559507286.

The spelling of 38053740 in words is "thirty-eight million, fifty-three thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 41 60 62 82 93 123 124 155 164 186 205 246 310 372 410 465 492 499 615 620 820 930 998 1230 1271 1497 1860 1996 2460 2495 2542 2994 3813 4990 5084 5988 6355 7485 7626 9980 12710 14970 15252 15469 19065 20459 25420 29940 30938 38130 40918 46407 61377 61876 76260 77345 81836 92814 102295 122754 154690 185628 204590 232035 245508 306885 309380 409180 464070 613770 634229 928140 1227540 1268458 1902687 2536916 3171145 3805374 6342290 7610748 9513435 12684580 19026870 38053740