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138950574 = 2372593797
BaseRepresentation
bin10000100100000…
…11011110101110
3100200110102100120
420102003132232
5241032404244
621442105410
73305026500
oct1022033656
9320412316
10138950574
1171485694
123a64b266
1322a30799
141464dd70
15c2ea819
hex84837ae

138950574 has 48 divisors (see below), whose sum is σ = 324224208. Its totient is φ = 39583488.

The previous prime is 138950569. The next prime is 138950579. The reversal of 138950574 is 475059831.

It is an interprime number because it is at equal distance from previous prime (138950569) and next prime (138950579).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138950579) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173944 + ... + 174740.

It is an arithmetic number, because the mean of its divisors is an integer number (6754671).

Almost surely, 2138950574 is an apocalyptic number.

138950574 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 138950574, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162112104).

138950574 is an abundant number, since it is smaller than the sum of its proper divisors (185273634).

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

138950574 is a wasteful number, since it uses less digits than its factorization.

138950574 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1409 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The square root of 138950574 is about 11787.7298068797. The cubic root of 138950574 is about 517.9487409711.

The spelling of 138950574 in words is "one hundred thirty-eight million, nine hundred fifty thousand, five hundred seventy-four".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 593 797 1186 1594 1779 2391 3558 4151 4782 5579 8302 11158 12453 16737 24906 29057 33474 39053 58114 78106 87171 117159 174342 234318 472621 945242 1417863 2835726 3308347 6616694 9925041 19850082 23158429 46316858 69475287 138950574