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38536680 = 23357133529
BaseRepresentation
bin1001001100000…
…0010111101000
32200111212101110
42103000113220
534331133210
63453550320
7645361560
oct223002750
980455343
1038536680
111a8311a6
1210aa53a0
137ca3790
145191da0
1535b3420
hex24c05e8

38536680 has 128 divisors (see below), whose sum is σ = 142329600. Its totient is φ = 8128512.

The previous prime is 38536669. The next prime is 38536691. The reversal of 38536680 is 8663583.

It is an interprime number because it is at equal distance from previous prime (38536669) and next prime (38536691).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9156 + ... + 12684.

It is an arithmetic number, because the mean of its divisors is an integer number (1111950).

Almost surely, 238536680 is an apocalyptic number.

38536680 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 38536680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71164800).

38536680 is an abundant number, since it is smaller than the sum of its proper divisors (103792920).

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

38536680 is a wasteful number, since it uses less digits than its factorization.

38536680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3563 (or 3559 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 38536680 is about 6207.7918779547. The cubic root of 38536680 is about 337.7728712289.

The spelling of 38536680 in words is "thirty-eight million, five hundred thirty-six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 20 21 24 26 28 30 35 39 40 42 52 56 60 65 70 78 84 91 104 105 120 130 140 156 168 182 195 210 260 273 280 312 364 390 420 455 520 546 728 780 840 910 1092 1365 1560 1820 2184 2730 3529 3640 5460 7058 10587 10920 14116 17645 21174 24703 28232 35290 42348 45877 49406 52935 70580 74109 84696 91754 98812 105870 123515 137631 141160 148218 183508 197624 211740 229385 247030 275262 296436 321139 367016 370545 423480 458770 494060 550524 592872 642278 688155 741090 917540 963417 988120 1101048 1284556 1376310 1482180 1605695 1835080 1926834 2569112 2752620 2964360 3211390 3853668 4817085 5505240 6422780 7707336 9634170 12845560 19268340 38536680