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138503550 = 23526115137
BaseRepresentation
bin10000100000101…
…10010101111110
3100122121201011010
420100112111332
5240424103200
621424340050
73301155303
oct1020262576
9318551133
10138503550
11711aa849
123a474626
1322905183
14145750aa
15c25d150
hex841657e

138503550 has 48 divisors (see below), whose sum is σ = 349142832. Its totient is φ = 36326400.

The previous prime is 138503531. The next prime is 138503569. The reversal of 138503550 is 55305831.

It is an interprime number because it is at equal distance from previous prime (138503531) and next prime (138503569).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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, 1582 + ... + 16718.

It is an arithmetic number, because the mean of its divisors is an integer number (7273809).

Almost surely, 2138503550 is an apocalyptic number.

138503550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 138503550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174571416).

138503550 is an abundant number, since it is smaller than the sum of its proper divisors (210639282).

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

138503550 is a wasteful number, since it uses less digits than its factorization.

138503550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15213 (or 15208 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The square root of 138503550 is about 11768.7531200208. The cubic root of 138503550 is about 517.3927057076.

The spelling of 138503550 in words is "one hundred thirty-eight million, five hundred three thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 61 75 122 150 183 305 366 610 915 1525 1830 3050 4575 9150 15137 30274 45411 75685 90822 151370 227055 378425 454110 756850 923357 1135275 1846714 2270550 2770071 4616785 5540142 9233570 13850355 23083925 27700710 46167850 69251775 138503550