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1390328238 = 23131731149227
BaseRepresentation
bin101001011011110…
…1011100110101110
310120220010222210110
41102313223212232
510321411000423
6345543320450
746311411045
oct12267534656
93526128713
101390328238
11653893202
12329750126
13192073440
14d291555c
15820d4193
hex52deb9ae

1390328238 has 128 divisors (see below), whose sum is σ = 3309465600. Its totient is φ = 385320960.

The previous prime is 1390328209. The next prime is 1390328239. The reversal of 1390328238 is 8328230931.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 1390328196 and 1390328205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1390328239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6124681 + ... + 6124907.

It is an arithmetic number, because the mean of its divisors is an integer number (25855200).

Almost surely, 21390328238 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1390328238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1654732800).

1390328238 is an abundant number, since it is smaller than the sum of its proper divisors (1919137362).

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

1390328238 is a wasteful number, since it uses less digits than its factorization.

1390328238 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442.

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 1390328238 is about 37287.1055192006. The cubic root of 1390328238 is about 1116.1068694949.

The spelling of 1390328238 in words is "one billion, three hundred ninety million, three hundred twenty-eight thousand, two hundred thirty-eight".

Divisors: 1 2 3 6 13 17 26 31 34 39 51 62 78 93 102 149 186 221 227 298 403 442 447 454 527 663 681 806 894 1054 1209 1326 1362 1581 1937 2418 2533 2951 3162 3859 3874 4619 5066 5811 5902 6851 7037 7599 7718 8853 9238 11577 11622 13702 13857 14074 15198 17706 20553 21111 23154 27714 32929 33823 41106 42222 50167 60047 65858 67646 78523 91481 98787 100334 101469 119629 120094 150501 157046 180141 182962 197574 202938 235569 239258 274443 301002 358887 360282 439699 471138 548886 574991 717774 879398 1020799 1048513 1149982 1319097 1555177 1724973 2041598 2097026 2638194 3062397 3110354 3145539 3449946 4665531 6124794 6291078 7474883 9331062 13630669 14949766 17824721 22424649 27261338 35649442 40892007 44849298 53474163 81784014 106948326 231721373 463442746 695164119 1390328238