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38930136 = 23371743317
BaseRepresentation
bin1001010010000…
…0011011011000
32201020212002220
42110200123120
534431231021
63510224040
7651620640
oct224403330
981225086
1038930136
111aa7a873
1211055020
1380b08ab
145255520
15363ecc6
hex25206d8

38930136 has 128 divisors (see below), whose sum is σ = 120890880. Its totient is φ = 10192896.

The previous prime is 38930083. The next prime is 38930137. The reversal of 38930136 is 63103983.

It is a junction number, because it is equal to n+sod(n) for n = 38930097 and 38930106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38930137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122650 + ... + 122966.

It is an arithmetic number, because the mean of its divisors is an integer number (944460).

Almost surely, 238930136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38930136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60445440).

38930136 is an abundant number, since it is smaller than the sum of its proper divisors (81960744).

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

38930136 is a wasteful number, since it uses less digits than its factorization.

38930136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 38930136 is about 6239.4018944126. The cubic root of 38930136 is about 338.9185244630.

The spelling of 38930136 in words is "thirty-eight million, nine hundred thirty thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 43 51 56 68 84 86 102 119 129 136 168 172 204 238 258 301 317 344 357 408 476 516 602 634 714 731 903 951 952 1032 1204 1268 1428 1462 1806 1902 2193 2219 2408 2536 2856 2924 3612 3804 4386 4438 5117 5389 5848 6657 7224 7608 8772 8876 10234 10778 13314 13631 15351 16167 17544 17752 20468 21556 26628 27262 30702 32334 37723 40893 40936 43112 53256 54524 61404 64668 75446 81786 95417 109048 113169 122808 129336 150892 163572 190834 226338 231727 286251 301784 327144 381668 452676 463454 572502 695181 763336 905352 926908 1145004 1390362 1622089 1853816 2290008 2780724 3244178 4866267 5561448 6488356 9732534 12976712 19465068 38930136