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38860140 = 22351197607
BaseRepresentation
bin1001010000111…
…1010101101100
32201010022002110
42110033111230
534422011030
63504524020
7651206604
oct224172554
981108073
1038860140
111aa32220
1211020610
138087a87
145237c04
1536291b0
hex250f56c

38860140 has 96 divisors (see below), whose sum is σ = 120121344. Its totient is φ = 9308160.

The previous prime is 38860139. The next prime is 38860141. The reversal of 38860140 is 4106883.

It is a happy number.

38860140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (38860139) and next prime (38860141).

It is a super-2 number, since 2×388601402 = 3020220961639200, which contains 22 as substring.

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 = 38860098 and 38860107.

It is not an unprimeable number, because it can be changed into a prime (38860141) by changing a digit.

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, 63717 + ... + 64323.

It is an arithmetic number, because the mean of its divisors is an integer number (1251264).

Almost surely, 238860140 is an apocalyptic number.

38860140 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 38860140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60060672).

38860140 is an abundant number, since it is smaller than the sum of its proper divisors (81261204).

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

38860140 is a wasteful number, since it uses less digits than its factorization.

38860140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 38860140 is about 6233.7901793371. The cubic root of 38860140 is about 338.7152785498.

The spelling of 38860140 in words is "thirty-eight million, eight hundred sixty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 97 110 132 165 194 220 291 330 388 485 582 607 660 970 1067 1164 1214 1455 1821 1940 2134 2428 2910 3035 3201 3642 4268 5335 5820 6070 6402 6677 7284 9105 10670 12140 12804 13354 16005 18210 20031 21340 26708 32010 33385 36420 40062 58879 64020 66770 80124 100155 117758 133540 176637 200310 235516 294395 353274 400620 588790 647669 706548 883185 1177580 1295338 1766370 1943007 2590676 3238345 3532740 3886014 6476690 7772028 9715035 12953380 19430070 38860140