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38868720 = 24351114723
BaseRepresentation
bin1001010001000…
…1011011110000
32201010201212020
42110101123300
534422244340
63505031440
7651243612
oct224213360
981121766
1038868720
111aa38710
1211025580
13808b957
14523adb2
15362b9d0
hex25116f0

38868720 has 80 divisors (see below), whose sum is σ = 131455872. Its totient is φ = 9422080.

The previous prime is 38868719. The next prime is 38868727. The reversal of 38868720 is 2786883.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38868727) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4722 + ... + 10001.

Almost surely, 238868720 is an apocalyptic number.

38868720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38868720 is an abundant number, since it is smaller than the sum of its proper divisors (92587152).

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

38868720 is a wasteful number, since it uses less digits than its factorization.

38868720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14750 (or 14744 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 38868720 is about 6234.4783262114. The cubic root of 38868720 is about 338.7402052332.

The spelling of 38868720 in words is "thirty-eight million, eight hundred sixty-eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 14723 29446 44169 58892 73615 88338 117784 147230 161953 176676 220845 235568 294460 323906 353352 441690 485859 588920 647812 706704 809765 883380 971718 1177840 1295624 1619530 1766760 1943436 2429295 2591248 3239060 3533520 3886872 4858590 6478120 7773744 9717180 12956240 19434360 38868720