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38965140 = 22325316983
BaseRepresentation
bin1001010010100…
…0111110010100
32201022122010100
42110220332110
534433341030
63511054100
7652124664
oct224507624
981278110
1038965140
111aaa40a5
1211071330
1380c37c6
1452641a4
15364a360
hex2528f94

38965140 has 72 divisors (see below), whose sum is σ = 122024448. Its totient is φ = 10054080.

The previous prime is 38965133. The next prime is 38965141. The reversal of 38965140 is 4156983.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 38965095 and 38965104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38965141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2089 + ... + 9071.

It is an arithmetic number, because the mean of its divisors is an integer number (1694784).

Almost surely, 238965140 is an apocalyptic number.

38965140 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 38965140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61012224).

38965140 is an abundant number, since it is smaller than the sum of its proper divisors (83059308).

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

38965140 is a wasteful number, since it uses less digits than its factorization.

38965140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7029 (or 7024 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 38965140 is about 6242.2063407100. The cubic root of 38965140 is about 339.0200734713.

The spelling of 38965140 in words is "thirty-eight million, nine hundred sixty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 930 1116 1395 1860 2790 5580 6983 13966 20949 27932 34915 41898 62847 69830 83796 104745 125694 139660 209490 216473 251388 314235 418980 432946 628470 649419 865892 1082365 1256940 1298838 1948257 2164730 2597676 3247095 3896514 4329460 6494190 7793028 9741285 12988380 19482570 38965140