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38090520 = 23335132713
BaseRepresentation
bin1001000101001…
…1011100011000
32122200012101000
42101103130120
534222344040
63440225000
7641523036
oct221233430
978605330
1038090520
111a556a76
121090b160
137b78690
1450b7556
153526130
hex2453718

38090520 has 128 divisors (see below), whose sum is σ = 136785600. Its totient is φ = 9372672.

The previous prime is 38090519. The next prime is 38090527. The reversal of 38090520 is 2509083.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38090527) 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 31 ways as a sum of consecutive naturals, for example, 12684 + ... + 15396.

Almost surely, 238090520 is an apocalyptic number.

38090520 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 38090520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68392800).

38090520 is an abundant number, since it is smaller than the sum of its proper divisors (98695080).

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

38090520 is a wasteful number, since it uses less digits than its factorization.

38090520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2746 (or 2736 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 38090520 is about 6171.7517772509. The cubic root of 38090520 is about 336.4642816339.

The spelling of 38090520 in words is "thirty-eight million, ninety thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 90 104 108 117 120 130 135 156 180 195 216 234 260 270 312 351 360 390 468 520 540 585 702 780 936 1080 1170 1404 1560 1755 2340 2713 2808 3510 4680 5426 7020 8139 10852 13565 14040 16278 21704 24417 27130 32556 35269 40695 48834 54260 65112 70538 73251 81390 97668 105807 108520 122085 141076 146502 162780 176345 195336 211614 244170 282152 293004 317421 325560 352690 366255 423228 488340 529035 586008 634842 705380 732510 846456 952263 976680 1058070 1269684 1410760 1465020 1587105 1904526 2116140 2539368 2930040 3174210 3809052 4232280 4761315 6348420 7618104 9522630 12696840 19045260 38090520