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38063040 = 2635311279
BaseRepresentation
bin1001000100110…
…0101111000000
32122121210200020
42101030233000
534221004130
63435453440
7641346651
oct221145700
978553606
1038063040
111a538364
12108b7280
137b69012
1450ab528
15351ce10
hex244cbc0

38063040 has 112 divisors (see below), whose sum is σ = 124846080. Its totient is φ = 9815040.

The previous prime is 38063027. The next prime is 38063089. The reversal of 38063040 is 4036083.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 38063040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29121 + ... + 30399.

Almost surely, 238063040 is an apocalyptic number.

38063040 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 38063040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62423040).

38063040 is an abundant number, since it is smaller than the sum of its proper divisors (86783040).

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

38063040 is a wasteful number, since it uses less digits than its factorization.

38063040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 38063040 is about 6169.5251032798. The cubic root of 38063040 is about 336.3833493106.

The spelling of 38063040 in words is "thirty-eight million, sixty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 155 160 186 192 240 248 310 320 372 465 480 496 620 744 930 960 992 1240 1279 1488 1860 1984 2480 2558 2976 3720 3837 4960 5116 5952 6395 7440 7674 9920 10232 12790 14880 15348 19185 20464 25580 29760 30696 38370 39649 40928 51160 61392 76740 79298 81856 102320 118947 122784 153480 158596 198245 204640 237894 245568 306960 317192 396490 409280 475788 594735 613920 634384 792980 951576 1189470 1227840 1268768 1585960 1903152 2378940 2537536 3171920 3806304 4757880 6343840 7612608 9515760 12687680 19031520 38063040