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138031040 = 265728803
BaseRepresentation
bin10000011101000…
…10111111000000
3100121201200222202
420032202333000
5240313443130
621410252332
73264146600
oct1016427700
9317650882
10138031040
1170a07844
123a2870a8
132279b094
1414490c00
15c1b8145
hex83a2fc0

138031040 has 84 divisors (see below), whose sum is σ = 382392936. Its totient is φ = 47319552.

The previous prime is 138031037. The next prime is 138031081. The reversal of 138031040 is 40130831.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11279 + ... + 20081.

Almost surely, 2138031040 is an apocalyptic number.

138031040 is a gapful number since it is divisible by the number (10) 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 138031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191196468).

138031040 is an abundant number, since it is smaller than the sum of its proper divisors (244361896).

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

138031040 is an equidigital number, since it uses as much as digits as its factorization.

138031040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8834 (or 8817 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 138031040 is about 11748.6612003241. The cubic root of 138031040 is about 516.8036672189.

Adding to 138031040 its reverse (40130831), we get a palindrome (178161871).

The spelling of 138031040 in words is "one hundred thirty-eight million, thirty-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 140 160 196 224 245 280 320 392 448 490 560 784 980 1120 1568 1960 2240 3136 3920 7840 8803 15680 17606 35212 44015 61621 70424 88030 123242 140848 176060 246484 281696 308105 352120 431347 492968 563392 616210 704240 862694 985936 1232420 1408480 1725388 1971872 2156735 2464840 2816960 3450776 3943744 4313470 4929680 6901552 8626940 9859360 13803104 17253880 19718720 27606208 34507760 69015520 138031040