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38721420 = 223252347199
BaseRepresentation
bin1001001110110…
…1011110001100
32200212020210200
42103231132030
534403041140
63501533500
7650061303
oct223553614
980766720
1038721420
111a947a81
1210b74290
1380398aa
1451dd43a
1535ed030
hex24ed78c

38721420 has 144 divisors (see below), whose sum is σ = 125798400. Its totient is φ = 9618048.

The previous prime is 38721413. The next prime is 38721421. The reversal of 38721420 is 2412783.

It is not an unprimeable number, because it can be changed into a prime (38721421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 194481 + ... + 194679.

It is an arithmetic number, because the mean of its divisors is an integer number (873600).

Almost surely, 238721420 is an apocalyptic number.

38721420 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 38721420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62899200).

38721420 is an abundant number, since it is smaller than the sum of its proper divisors (87076980).

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

38721420 is a wasteful number, since it uses less digits than its factorization.

38721420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 38721420 is about 6222.6537747170. The cubic root of 38721420 is about 338.3117579216.

The spelling of 38721420 in words is "thirty-eight million, seven hundred twenty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 47 60 69 90 92 94 115 138 141 180 188 199 207 230 235 276 282 345 398 414 423 460 470 564 597 690 705 796 828 846 940 995 1035 1081 1194 1380 1410 1692 1791 1990 2070 2115 2162 2388 2820 2985 3243 3582 3980 4140 4230 4324 4577 5405 5970 6486 7164 8460 8955 9154 9353 9729 10810 11940 12972 13731 16215 17910 18308 18706 19458 21620 22885 27462 28059 32430 35820 37412 38916 41193 45770 46765 48645 54924 56118 64860 68655 82386 84177 91540 93530 97290 112236 137310 140295 164772 168354 187060 194580 205965 215119 274620 280590 336708 411930 420885 430238 561180 645357 823860 841770 860476 1075595 1290714 1683540 1936071 2151190 2581428 3226785 3872142 4302380 6453570 7744284 9680355 12907140 19360710 38721420