Search a number
-
+
38740080 = 24353141127
BaseRepresentation
bin1001001111001…
…0000001110000
32200220012101210
42103302001300
534404140310
63502200120
7650166561
oct223620160
980805353
1038740080
111a95aaa5
1210b83040
138045232
145206168
153603820
hex24f2070

38740080 has 160 divisors (see below), whose sum is σ = 127991808. Its totient is φ = 9676800.

The previous prime is 38740061. The next prime is 38740081. The reversal of 38740080 is 8004783.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38740081) 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, 304977 + ... + 305103.

Almost surely, 238740080 is an apocalyptic number.

38740080 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 38740080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63995904).

38740080 is an abundant number, since it is smaller than the sum of its proper divisors (89251728).

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

38740080 is a wasteful number, since it uses less digits than its factorization.

38740080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 38740080 is about 6224.1529544188. The cubic root of 38740080 is about 338.3660937699.

The spelling of 38740080 in words is "thirty-eight million, seven hundred forty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 41 48 60 62 80 82 93 120 123 124 127 155 164 186 205 240 246 248 254 310 328 372 381 410 465 492 496 508 615 620 635 656 744 762 820 930 984 1016 1230 1240 1270 1271 1488 1524 1640 1860 1905 1968 2032 2460 2480 2540 2542 3048 3280 3720 3810 3813 3937 4920 5080 5084 5207 6096 6355 7440 7620 7626 7874 9840 10160 10168 10414 11811 12710 15240 15252 15621 15748 19065 19685 20336 20828 23622 25420 26035 30480 30504 31242 31496 38130 39370 41656 47244 50840 52070 59055 61008 62484 62992 76260 78105 78740 83312 94488 101680 104140 118110 124968 152520 156210 157480 161417 188976 208280 236220 249936 305040 312420 314960 322834 416560 472440 484251 624840 645668 807085 944880 968502 1249680 1291336 1614170 1937004 2421255 2582672 3228340 3874008 4842510 6456680 7748016 9685020 12913360 19370040 38740080