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138620000 = 255429239
BaseRepresentation
bin10000100001100…
…10110001100000
3100122211121220002
420100302301200
5240441320000
621431035132
73302151641
oct1020626140
9318747802
10138620000
117127a292
123a50baa8
132294618c
14145a56c8
15c2828d5
hex8432c60

138620000 has 120 divisors (see below), whose sum is σ = 354261600. Its totient is φ = 53312000.

The previous prime is 138619997. The next prime is 138620039. The reversal of 138620000 is 26831.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 579881 + ... + 580119.

It is an arithmetic number, because the mean of its divisors is an integer number (2952180).

Almost surely, 2138620000 is an apocalyptic number.

138620000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138620000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177130800).

138620000 is an abundant number, since it is smaller than the sum of its proper divisors (215641600).

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

138620000 is an equidigital number, since it uses as much as digits as its factorization.

138620000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 138620000 is about 11773.6995035545. The cubic root of 138620000 is about 517.5376683045.

Adding to 138620000 its reverse (26831), we get a palindrome (138646831).

The spelling of 138620000 in words is "one hundred thirty-eight million, six hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 80 100 116 125 145 160 200 232 239 250 290 400 464 478 500 580 625 725 800 928 956 1000 1160 1195 1250 1450 1912 2000 2320 2390 2500 2900 3625 3824 4000 4640 4780 5000 5800 5975 6931 7250 7648 9560 10000 11600 11950 13862 14500 18125 19120 20000 23200 23900 27724 29000 29875 34655 36250 38240 47800 55448 58000 59750 69310 72500 95600 110896 116000 119500 138620 145000 149375 173275 191200 221792 239000 277240 290000 298750 346550 478000 554480 580000 597500 693100 866375 956000 1108960 1195000 1386200 1732750 2390000 2772400 3465500 4331875 4780000 5544800 6931000 8663750 13862000 17327500 27724000 34655000 69310000 138620000