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38668740 = 223511411429
BaseRepresentation
bin1001001110000…
…0100111000100
32200202120112120
42103200213010
534344344430
63500445540
7646451565
oct223404704
980676476
1038668740
111a911440
1210b498b0
13801b916
1451c816c
1535dc610
hex24e09c4

38668740 has 96 divisors (see below), whose sum is σ = 121080960. Its totient is φ = 9139200.

The previous prime is 38668723. The next prime is 38668753. The reversal of 38668740 is 4786683.

It is a junction number, because it is equal to n+sod(n) for n = 38668692 and 38668701.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26346 + ... + 27774.

It is an arithmetic number, because the mean of its divisors is an integer number (1261260).

Almost surely, 238668740 is an apocalyptic number.

38668740 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 38668740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60540480).

38668740 is an abundant number, since it is smaller than the sum of its proper divisors (82412220).

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

38668740 is a wasteful number, since it uses less digits than its factorization.

38668740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1493 (or 1491 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 38668740 is about 6218.4194133236. The cubic root of 38668740 is about 338.1582653427.

The spelling of 38668740 in words is "thirty-eight million, six hundred sixty-eight thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 41 44 55 60 66 82 110 123 132 164 165 205 220 246 330 410 451 492 615 660 820 902 1230 1353 1429 1804 2255 2460 2706 2858 4287 4510 5412 5716 6765 7145 8574 9020 13530 14290 15719 17148 21435 27060 28580 31438 42870 47157 58589 62876 78595 85740 94314 117178 157190 175767 188628 234356 235785 292945 314380 351534 471570 585890 644479 703068 878835 943140 1171780 1288958 1757670 1933437 2577916 3222395 3515340 3866874 6444790 7733748 9667185 12889580 19334370 38668740