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38645040 = 2435723003
BaseRepresentation
bin1001001101101…
…0110100110000
32200201101000210
42103122310300
534343120130
63500144120
7646322520
oct223326460
980641023
1038645040
111a8a5655
1210b38040
138010bb5
1451bd680
1535d55b0
hex24dad30

38645040 has 80 divisors (see below), whose sum is σ = 136919808. Its totient is φ = 8832768.

The previous prime is 38645039. The next prime is 38645041. The reversal of 38645040 is 4054683.

It is an interprime number because it is at equal distance from previous prime (38645039) and next prime (38645041).

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a junction number, because it is equal to n+sod(n) for n = 38644989 and 38645007.

It is not an unprimeable number, because it can be changed into a prime (38645041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9822 + ... + 13181.

Almost surely, 238645040 is an apocalyptic number.

38645040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38645040 is an abundant number, since it is smaller than the sum of its proper divisors (98274768).

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

38645040 is a wasteful number, since it uses less digits than its factorization.

38645040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23026 (or 23020 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 38645040 is about 6216.5134923042. The cubic root of 38645040 is about 338.0891656964.

The spelling of 38645040 in words is "thirty-eight million, six hundred forty-five thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 23003 46006 69009 92012 115015 138018 161021 184024 230030 276036 322042 345045 368048 460060 483063 552072 644084 690090 805105 920120 966126 1104144 1288168 1380180 1610210 1840240 1932252 2415315 2576336 2760360 3220420 3864504 4830630 5520720 6440840 7729008 9661260 12881680 19322520 38645040