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138429410 = 25722371173
BaseRepresentation
bin10000100000001…
…00001111100010
3100122110221110012
420100010033202
5240414220120
621423004522
73300426200
oct1020041742
9318427405
10138429410
117115a079
123a439742
13228aa4c2
1414556070
15c2461c5
hex84043e2

138429410 has 96 divisors (see below), whose sum is σ = 308489472. Its totient is φ = 44499840.

The previous prime is 138429397. The next prime is 138429449. The reversal of 138429410 is 14924831.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 800084 + ... + 800256.

It is an arithmetic number, because the mean of its divisors is an integer number (3213432).

Almost surely, 2138429410 is an apocalyptic number.

138429410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

138429410 is an abundant number, since it is smaller than the sum of its proper divisors (170060062).

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

138429410 is a wasteful number, since it uses less digits than its factorization.

138429410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 138429410 is about 11765.6028319844. The cubic root of 138429410 is about 517.3003703084.

The spelling of 138429410 in words is "one hundred thirty-eight million, four hundred twenty-nine thousand, four hundred ten".

Divisors: 1 2 5 7 10 14 23 35 46 49 70 71 98 115 142 161 173 230 245 322 346 355 490 497 710 805 865 994 1127 1211 1610 1633 1730 2254 2422 2485 3266 3479 3979 4970 5635 6055 6958 7958 8165 8477 11270 11431 12110 12283 16330 16954 17395 19895 22862 24566 27853 34790 39790 42385 55706 57155 61415 80017 84770 85981 114310 122830 139265 160034 171962 194971 278530 282509 389942 400085 429905 565018 601867 800170 859810 974855 1203734 1412545 1949710 1977563 2825090 3009335 3955126 6018670 9887815 13842941 19775630 27685882 69214705 138429410