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38031930 = 23753747
BaseRepresentation
bin1001000100010…
…1001000111010
32122120020000000
42101011020322
534214010210
63435053430
7641160156
oct221051072
978506000
1038031930
111a516a52
12108a1276
137b57b01
1450a0066
153513ac0
hex244523a

38031930 has 128 divisors (see below), whose sum is σ = 107688960. Its totient is φ = 9657792.

The previous prime is 38031923. The next prime is 38031937. The reversal of 38031930 is 3913083.

It is an interprime number because it is at equal distance from previous prime (38031923) and next prime (38031937).

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

It is a junction number, because it is equal to n+sod(n) for n = 38031894 and 38031903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38031937) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 809167 + ... + 809213.

It is an arithmetic number, because the mean of its divisors is an integer number (841320).

Almost surely, 238031930 is an apocalyptic number.

38031930 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 38031930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53844480).

38031930 is an abundant number, since it is smaller than the sum of its proper divisors (69657030).

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

38031930 is an equidigital number, since it uses as much as digits as its factorization.

38031930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 38031930 is about 6167.0033241437. The cubic root of 38031930 is about 336.2916791202.

The spelling of 38031930 in words is "thirty-eight million, thirty-one thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 45 47 54 74 81 90 94 111 135 141 162 185 222 235 243 270 282 333 370 405 423 470 486 555 666 705 729 810 846 999 1110 1215 1269 1410 1458 1665 1739 1998 2115 2187 2430 2538 2997 3330 3478 3645 3807 4230 4374 4995 5217 5994 6345 7290 7614 8695 8991 9990 10434 10935 11421 12690 14985 15651 17390 17982 19035 21870 22842 26085 26973 29970 31302 34263 38070 44955 46953 52170 53946 57105 68526 78255 80919 89910 93906 102789 114210 134865 140859 156510 161838 171315 205578 234765 269730 281718 342630 404595 422577 469530 513945 704295 809190 845154 1027890 1267731 1408590 2112885 2535462 3803193 4225770 6338655 7606386 12677310 19015965 38031930