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38806740 = 223257191621
BaseRepresentation
bin1001010000001…
…0010011010100
32201000120211200
42110002103110
534413303430
63503432500
7650565120
oct224022324
981016750
1038806740
111a9a6095
1210bb5730
13806968b
145222580
153618460
hex25024d4

38806740 has 144 divisors (see below), whose sum is σ = 141697920. Its totient is φ = 8398080.

The previous prime is 38806739. The next prime is 38806741. The reversal of 38806740 is 4760883.

It is an interprime number because it is at equal distance from previous prime (38806739) and next prime (38806741).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 38806695 and 38806704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38806741) 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, 23130 + ... + 24750.

Almost surely, 238806740 is an apocalyptic number.

38806740 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 38806740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70848960).

38806740 is an abundant number, since it is smaller than the sum of its proper divisors (102891180).

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

38806740 is a wasteful number, since it uses less digits than its factorization.

38806740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1662 (or 1657 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 38806740 is about 6229.5055983601. The cubic root of 38806740 is about 338.5600579116.

The spelling of 38806740 in words is "thirty-eight million, eight hundred six thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 19 20 21 28 30 35 36 38 42 45 57 60 63 70 76 84 90 95 105 114 126 133 140 171 180 190 210 228 252 266 285 315 342 380 399 420 532 570 630 665 684 798 855 1140 1197 1260 1330 1596 1621 1710 1995 2394 2660 3242 3420 3990 4788 4863 5985 6484 7980 8105 9726 11347 11970 14589 16210 19452 22694 23940 24315 29178 30799 32420 34041 45388 48630 56735 58356 61598 68082 72945 92397 97260 102123 113470 123196 136164 145890 153995 170205 184794 204246 215593 226940 277191 291780 307990 340410 369588 408492 431186 461985 510615 554382 615980 646779 680820 862372 923970 1021230 1077965 1108764 1293558 1385955 1847940 1940337 2042460 2155930 2587116 2771910 3233895 3880674 4311860 5543820 6467790 7761348 9701685 12935580 19403370 38806740