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38138140 = 22517234877
BaseRepresentation
bin1001000101111…
…1000100011100
32122202121200201
42101133010130
534230410030
63441233244
7642111625
oct221370434
978677621
1038138140
111a589827
1210932824
137b94261
1450caa4c
1535352ca
hex245f11c

38138140 has 48 divisors (see below), whose sum is σ = 88506432. Its totient is φ = 13730816.

The previous prime is 38138137. The next prime is 38138141. The reversal of 38138140 is 4183183.

It is a junction number, because it is equal to n+sod(n) for n = 38138099 and 38138108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38138141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5382 + ... + 10258.

It is an arithmetic number, because the mean of its divisors is an integer number (1843884).

Almost surely, 238138140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38138140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44253216).

38138140 is an abundant number, since it is smaller than the sum of its proper divisors (50368292).

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

38138140 is a wasteful number, since it uses less digits than its factorization.

38138140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4926 (or 4924 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 38138140 is about 6175.6084720455. The cubic root of 38138140 is about 336.6044368637.

The spelling of 38138140 in words is "thirty-eight million, one hundred thirty-eight thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 23 34 46 68 85 92 115 170 230 340 391 460 782 1564 1955 3910 4877 7820 9754 19508 24385 48770 82909 97540 112171 165818 224342 331636 414545 448684 560855 829090 1121710 1658180 1906907 2243420 3813814 7627628 9534535 19069070 38138140