Search a number
-
+
38704680 = 23325715359
BaseRepresentation
bin1001001110100…
…1011000101000
32200211101211200
42103221120220
534402022210
63501324200
7646661430
oct223513050
980741750
1038704680
111a936443
1210b66660
1380320a1
1451d72c0
1535e80c0
hex24e9628

38704680 has 96 divisors (see below), whose sum is σ = 143769600. Its totient is φ = 8846208.

The previous prime is 38704669. The next prime is 38704693. The reversal of 38704680 is 8640783.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5160 + ... + 10199.

It is an arithmetic number, because the mean of its divisors is an integer number (1497600).

Almost surely, 238704680 is an apocalyptic number.

38704680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38704680 is an abundant number, since it is smaller than the sum of its proper divisors (105064920).

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

38704680 is a wasteful number, since it uses less digits than its factorization.

38704680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15383 (or 15376 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 38704680 is about 6221.3085440283. The cubic root of 38704680 is about 338.2629980436.

The spelling of 38704680 in words is "thirty-eight million, seven hundred four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 15359 30718 46077 61436 76795 92154 107513 122872 138231 153590 184308 215026 230385 276462 307180 322539 368616 430052 460770 537565 552924 614360 645078 691155 860104 921540 967617 1075130 1105848 1290156 1382310 1612695 1843080 1935234 2150260 2580312 2764620 3225390 3870468 4300520 4838085 5529240 6450780 7740936 9676170 12901560 19352340 38704680