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9138800 = 2452113167
BaseRepresentation
bin100010110111…
…001001110000
3122012022002002
4202313021300
54314420200
6523513132
7140451506
oct42671160
918168062
109138800
115182130
1230887a8
131b7c898
1412dc676
15c07bd5
hex8b7270

9138800 has 120 divisors (see below), whose sum is σ = 25093632. Its totient is φ = 3168000.

The previous prime is 9138757. The next prime is 9138803. The reversal of 9138800 is 88319.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9138803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136367 + ... + 136433.

Almost surely, 29138800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9138800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12546816).

9138800 is an abundant number, since it is smaller than the sum of its proper divisors (15954832).

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

9138800 is a wasteful number, since it uses less digits than its factorization.

9138800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 9138800 is about 3023.0448226912. The cubic root of 9138800 is about 209.0722490078.

The spelling of 9138800 in words is "nine million, one hundred thirty-eight thousand, eight hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 31 40 44 50 55 62 67 80 88 100 110 124 134 155 176 200 220 248 268 275 310 335 341 400 440 496 536 550 620 670 682 737 775 880 1072 1100 1240 1340 1364 1474 1550 1675 1705 2077 2200 2480 2680 2728 2948 3100 3350 3410 3685 4154 4400 5360 5456 5896 6200 6700 6820 7370 8308 8525 10385 11792 12400 13400 13640 14740 16616 17050 18425 20770 22847 26800 27280 29480 33232 34100 36850 41540 45694 51925 58960 68200 73700 83080 91388 103850 114235 136400 147400 166160 182776 207700 228470 294800 365552 415400 456940 571175 830800 913880 1142350 1827760 2284700 4569400 9138800