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138358350 = 232521367353
BaseRepresentation
bin10000011111100…
…10111001001110
3100122100022222100
420033302321032
5240404431400
621421255530
73300012054
oct1017627116
9318308870
10138358350
1171110749
123a4045a6
1322884060
14145381d4
15c230100
hex83f2e4e

138358350 has 144 divisors (see below), whose sum is σ = 407442672. Its totient is φ = 33454080.

The previous prime is 138358349. The next prime is 138358351. The reversal of 138358350 is 53853831.

It is an interprime number because it is at equal distance from previous prime (138358349) and next prime (138358351).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138358351) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 391774 + ... + 392126.

It is an arithmetic number, because the mean of its divisors is an integer number (2829463).

Almost surely, 2138358350 is an apocalyptic number.

138358350 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 138358350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203721336).

138358350 is an abundant number, since it is smaller than the sum of its proper divisors (269084322).

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

138358350 is a wasteful number, since it uses less digits than its factorization.

138358350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 138358350 is about 11762.5826245770. The cubic root of 138358350 is about 517.2118398533.

The spelling of 138358350 in words is "one hundred thirty-eight million, three hundred fifty-eight thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 50 65 67 75 78 90 117 130 134 150 195 201 225 234 325 335 353 390 402 450 585 603 650 670 706 871 975 1005 1059 1170 1206 1675 1742 1765 1950 2010 2118 2613 2925 3015 3177 3350 3530 4355 4589 5025 5226 5295 5850 6030 6354 7839 8710 8825 9178 10050 10590 13065 13767 15075 15678 15885 17650 21775 22945 23651 26130 26475 27534 30150 31770 39195 41301 43550 45890 47302 52950 65325 68835 70953 78390 79425 82602 114725 118255 130650 137670 141906 158850 195975 206505 212859 229450 236510 307463 344175 354765 391950 413010 425718 591275 614926 688350 709530 922389 1032525 1064295 1182550 1537315 1773825 1844778 2065050 2128590 2767167 3074630 3547650 4611945 5321475 5534334 7686575 9223890 10642950 13835835 15373150 23059725 27671670 46119450 69179175 138358350