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138020670 = 23254767487
BaseRepresentation
bin10000011101000…
…00011100111110
3100121201011202200
420032200130332
5240313130140
621410132330
73264104424
oct1016403476
9317634680
10138020670
11709aaa77
123a2810a6
1322796448
141448b114
15c1b5030
hex83a073e

138020670 has 96 divisors (see below), whose sum is σ = 372722688. Its totient is φ = 35411904.

The previous prime is 138020653. The next prime is 138020699. The reversal of 138020670 is 76020831.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 283167 + ... + 283653.

It is an arithmetic number, because the mean of its divisors is an integer number (3882528).

Almost surely, 2138020670 is an apocalyptic number.

138020670 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 138020670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186361344).

138020670 is an abundant number, since it is smaller than the sum of its proper divisors (234702018).

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

138020670 is a wasteful number, since it uses less digits than its factorization.

138020670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 138020670 is about 11748.2198651540. The cubic root of 138020670 is about 516.7907247478.

The spelling of 138020670 in words is "one hundred thirty-eight million, twenty thousand, six hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 47 67 90 94 134 141 201 235 282 335 402 423 470 487 603 670 705 846 974 1005 1206 1410 1461 2010 2115 2435 2922 3015 3149 4230 4383 4870 6030 6298 7305 8766 9447 14610 15745 18894 21915 22889 28341 31490 32629 43830 45778 47235 56682 65258 68667 94470 97887 114445 137334 141705 163145 195774 206001 228890 283410 293661 326290 343335 412002 489435 587322 686670 978870 1030005 1468305 1533563 2060010 2936610 3067126 4600689 7667815 9201378 13802067 15335630 23003445 27604134 46006890 69010335 138020670