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38145780 = 22325673163
BaseRepresentation
bin1001000110000…
…0111011110100
32122210000011200
42101200323310
534231131110
63441332500
7642143121
oct221407364
978700150
1038145780
111a594542
1210937130
137b9788a
1450cd748
1535376c0
hex2460ef4

38145780 has 72 divisors (see below), whose sum is σ = 117472992. Its totient is φ = 10017216.

The previous prime is 38145769. The next prime is 38145827. The reversal of 38145780 is 8754183.

38145780 is a `hidden beast` number, since 3 + 81 + 4 + 578 + 0 = 666.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10479 + ... + 13641.

Almost surely, 238145780 is an apocalyptic number.

38145780 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 38145780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58736496).

38145780 is an abundant number, since it is smaller than the sum of its proper divisors (79327212).

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

38145780 is a wasteful number, since it uses less digits than its factorization.

38145780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3245 (or 3240 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 38145780 is about 6176.2270036002. The cubic root of 38145780 is about 336.6269120569.

The spelling of 38145780 in words is "thirty-eight million, one hundred forty-five thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 67 90 134 180 201 268 335 402 603 670 804 1005 1206 1340 2010 2412 3015 3163 4020 6030 6326 9489 12060 12652 15815 18978 28467 31630 37956 47445 56934 63260 94890 113868 142335 189780 211921 284670 423842 569340 635763 847684 1059605 1271526 1907289 2119210 2543052 3178815 3814578 4238420 6357630 7629156 9536445 12715260 19072890 38145780