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1395106938 = 2321712735899
BaseRepresentation
bin101001100100111…
…1010010001111010
310121020010202221100
41103021322101322
510324121410223
6350233552230
746400133111
oct12311722172
93536122840
101395106938
11656557545
1232b275676
13193057584
14d33dac78
158272a043
hex5327a47a

1395106938 has 48 divisors (see below), whose sum is σ = 3225830400. Its totient is φ = 434222208.

The previous prime is 1395106931. The next prime is 1395106943. The reversal of 1395106938 is 8396015931.

It is a junction number, because it is equal to n+sod(n) for n = 1395106893 and 1395106902.

It is not an unprimeable number, because it can be changed into a prime (1395106931) 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, 20913 + ... + 56811.

It is an arithmetic number, because the mean of its divisors is an integer number (67204800).

Almost surely, 21395106938 is an apocalyptic number.

1395106938 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1395106938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1612915200).

1395106938 is an abundant number, since it is smaller than the sum of its proper divisors (1830723462).

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

1395106938 is a wasteful number, since it uses less digits than its factorization.

1395106938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36051 (or 36048 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 1395106938 is about 37351.1303443417. The cubic root of 1395106938 is about 1117.3841316438.

The spelling of 1395106938 in words is "one billion, three hundred ninety-five million, one hundred six thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 9 17 18 34 51 102 127 153 254 306 381 762 1143 2159 2286 4318 6477 12954 19431 35899 38862 71798 107697 215394 323091 610283 646182 1220566 1830849 3661698 4559173 5492547 9118346 10985094 13677519 27355038 41032557 77505941 82065114 155011882 232517823 465035646 697553469 1395106938