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138353670 = 23457131877
BaseRepresentation
bin10000011111100…
…01110000000110
3100122100002120000
420033301300012
5240404304140
621421222130
73266662320
oct1017616006
9318302500
10138353670
1171108184
123a401946
1322881ba0
1414536610
15c22da30
hex83f1c06

138353670 has 160 divisors (see below), whose sum is σ = 458111808. Its totient is φ = 29175552.

The previous prime is 138353669. The next prime is 138353711. The reversal of 138353670 is 76353831.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 72772 + ... + 74648.

Almost surely, 2138353670 is an apocalyptic number.

138353670 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 138353670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229055904).

138353670 is an abundant number, since it is smaller than the sum of its proper divisors (319758138).

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

138353670 is a wasteful number, since it uses less digits than its factorization.

138353670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1916 (or 1907 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 138353670 is about 11762.3836869913. The cubic root of 138353670 is about 517.2060081881.

The spelling of 138353670 in words is "one hundred thirty-eight million, three hundred fifty-three thousand, six hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 27 30 35 39 42 45 54 63 65 70 78 81 90 91 105 117 126 130 135 162 182 189 195 210 234 270 273 315 351 378 390 405 455 546 567 585 630 702 810 819 910 945 1053 1134 1170 1365 1638 1755 1877 1890 2106 2457 2730 2835 3510 3754 4095 4914 5265 5631 5670 7371 8190 9385 10530 11262 12285 13139 14742 16893 18770 24401 24570 26278 28155 33786 36855 39417 48802 50679 56310 65695 73203 73710 78834 84465 101358 118251 122005 131390 146406 152037 168930 170807 197085 219609 236502 244010 253395 304074 341614 354753 366015 394170 439218 506790 512421 591255 658827 709506 732030 760185 854035 1024842 1064259 1098045 1182510 1317654 1520370 1537263 1708070 1773765 1976481 2128518 2196090 2562105 3074526 3294135 3547530 3952962 4611789 5124210 5321295 6588270 7686315 9223578 9882405 10642590 13835367 15372630 19764810 23058945 27670734 46117890 69176835 138353670