Search a number
-
+
38690730 = 23351373151
BaseRepresentation
bin1001001110010…
…1111110101010
32200210200201000
42103211332222
534401100410
63501135430
7646602651
oct223457652
980720630
1038690730
111a926a11
1210b5a576
138028930
1451d2198
1535e3dc0
hex24e5faa

38690730 has 128 divisors (see below), whose sum is σ = 113379840. Its totient is φ = 9331200.

The previous prime is 38690713. The next prime is 38690731. The reversal of 38690730 is 3709683.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38690731) 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, 256155 + ... + 256305.

It is an arithmetic number, because the mean of its divisors is an integer number (885780).

Almost surely, 238690730 is an apocalyptic number.

38690730 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 38690730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56689920).

38690730 is an abundant number, since it is smaller than the sum of its proper divisors (74689110).

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

38690730 is a wasteful number, since it uses less digits than its factorization.

38690730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 38690730 is about 6220.1872962154. The cubic root of 38690730 is about 338.2223540711. Note that the first 3 decimals are identical.

The spelling of 38690730 in words is "thirty-eight million, six hundred ninety thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 73 78 90 117 130 135 146 151 195 219 234 270 302 351 365 390 438 453 585 657 702 730 755 906 949 1095 1170 1314 1359 1510 1755 1898 1963 1971 2190 2265 2718 2847 3285 3510 3926 3942 4077 4530 4745 5694 5889 6570 6795 8154 8541 9490 9815 9855 11023 11778 13590 14235 17082 17667 19630 19710 20385 22046 25623 28470 29445 33069 35334 40770 42705 51246 53001 55115 58890 66138 85410 88335 99207 106002 110230 128115 143299 165345 176670 198414 256230 265005 286598 297621 330690 429897 496035 530010 595242 716495 859794 992070 1289691 1432990 1488105 2149485 2579382 2976210 3869073 4298970 6448455 7738146 12896910 19345365 38690730