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138362850 = 23352113907
BaseRepresentation
bin10000011111100…
…11111111100010
3100122100120011000
420033303333202
5240410102400
621421332430
73300031143
oct1017637742
9318316130
10138362850
117111406a
123a407116
1322886112
1414539aca
15c231600
hex83f3fe2

138362850 has 96 divisors (see below), whose sum is σ = 385064640. Its totient is φ = 36529920.

The previous prime is 138362843. The next prime is 138362897. The reversal of 138362850 is 58263831.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152097 + ... + 153003.

It is an arithmetic number, because the mean of its divisors is an integer number (4011090).

Almost surely, 2138362850 is an apocalyptic number.

138362850 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 138362850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192532320).

138362850 is an abundant number, since it is smaller than the sum of its proper divisors (246701790).

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

138362850 is a wasteful number, since it uses less digits than its factorization.

138362850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 138362850 is about 11762.7739075441. The cubic root of 138362850 is about 517.2174470996.

The spelling of 138362850 in words is "one hundred thirty-eight million, three hundred sixty-two thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 113 135 150 225 226 270 339 450 565 675 678 907 1017 1130 1350 1695 1814 2034 2721 2825 3051 3390 4535 5085 5442 5650 6102 8163 8475 9070 10170 13605 15255 16326 16950 22675 24489 25425 27210 30510 40815 45350 48978 50850 68025 76275 81630 102491 122445 136050 152550 204075 204982 244890 307473 408150 512455 612225 614946 922419 1024910 1224450 1537365 1844838 2562275 2767257 3074730 4612095 5124550 5534514 7686825 9224190 13836285 15373650 23060475 27672570 46120950 69181425 138362850