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138062208 = 27319127149
BaseRepresentation
bin10000011101010…
…10100110000000
3100121210021202010
420032222212000
5240320442313
621411052520
73264336504
oct1016524600
9317707663
10138062208
1170a291a9
123a2a1140
13227ac31b
141449c304
15c1c24c3
hex83aa980

138062208 has 128 divisors (see below), whose sum is σ = 391680000. Its totient is φ = 42964992.

The previous prime is 138062203. The next prime is 138062233. The reversal of 138062208 is 802260831.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1380622082 = 38122346555670528, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138062203) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 926518 + ... + 926666.

It is an arithmetic number, because the mean of its divisors is an integer number (3060000).

Almost surely, 2138062208 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 138062208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195840000).

138062208 is an abundant number, since it is smaller than the sum of its proper divisors (253617792).

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

138062208 is a wasteful number, since it uses less digits than its factorization.

138062208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 138062208 is about 11749.9875744615. The cubic root of 138062208 is about 516.8425631186.

The spelling of 138062208 in words is "one hundred thirty-eight million, sixty-two thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 127 128 149 152 192 228 254 298 304 381 384 447 456 508 596 608 762 894 912 1016 1192 1216 1524 1788 1824 2032 2384 2413 2432 2831 3048 3576 3648 4064 4768 4826 5662 6096 7152 7239 7296 8128 8493 9536 9652 11324 12192 14304 14478 16256 16986 18923 19072 19304 22648 24384 28608 28956 33972 37846 38608 45296 48768 56769 57216 57912 67944 75692 77216 90592 113538 115824 135888 151384 154432 181184 227076 231648 271776 302768 308864 359537 362368 454152 463296 543552 605536 719074 908304 926592 1078611 1087104 1211072 1438148 1816608 2157222 2422144 2876296 3633216 4314444 5752592 7266432 8628888 11505184 17257776 23010368 34515552 46020736 69031104 138062208