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38671020 = 2235573109
BaseRepresentation
bin1001001110000…
…1001010101100
32200202200200000
42103201022230
534344433040
63500504300
7646461333
oct223411254
980680600
1038671020
111a913123
1210b4b090
13801c97b
1451c8d1a
1535dd130
hex24e12ac

38671020 has 144 divisors (see below), whose sum is σ = 124444320. Its totient is φ = 10077696.

The previous prime is 38670997. The next prime is 38671033. The reversal of 38671020 is 2017683.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 354726 + ... + 354834.

Almost surely, 238671020 is an apocalyptic number.

38671020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38671020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62222160).

38671020 is an abundant number, since it is smaller than the sum of its proper divisors (85773300).

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

38671020 is a wasteful number, since it uses less digits than its factorization.

38671020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 192 counting only the distinct ones).

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

The square root of 38671020 is about 6218.6027369498. The cubic root of 38671020 is about 338.1649114147.

The spelling of 38671020 in words is "thirty-eight million, six hundred seventy-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 73 81 90 108 109 135 146 162 180 218 219 243 270 292 324 327 365 405 436 438 486 540 545 654 657 730 810 876 972 981 1090 1095 1215 1308 1314 1460 1620 1635 1962 1971 2180 2190 2430 2628 2943 3270 3285 3924 3942 4380 4860 4905 5886 5913 6540 6570 7884 7957 8829 9810 9855 11772 11826 13140 14715 15914 17658 17739 19620 19710 23652 23871 26487 29430 29565 31828 35316 35478 39420 39785 44145 47742 52974 58860 59130 70956 71613 79570 88290 88695 95484 105948 118260 119355 132435 143226 159140 176580 177390 214839 238710 264870 286452 354780 358065 429678 477420 529740 644517 716130 859356 1074195 1289034 1432260 1933551 2148390 2578068 3222585 3867102 4296780 6445170 7734204 9667755 12890340 19335510 38671020