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38183130 = 23351031373
BaseRepresentation
bin1001000110101…
…0000011011010
32122211220102000
42101222003122
534233330010
63442221430
7642360036
oct221520332
978756360
1038183130
111a60a607
1210954876
137bab88b
1450dd1c6
1535437c0
hex246a0da

38183130 has 64 divisors (see below), whose sum is σ = 102885120. Its totient is φ = 10075968.

The previous prime is 38183107. The next prime is 38183137. The reversal of 38183130 is 3138183.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 38183094 and 38183103.

It is not an unprimeable number, because it can be changed into a prime (38183137) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 27124 + ... + 28496.

It is an arithmetic number, because the mean of its divisors is an integer number (1607580).

Almost surely, 238183130 is an apocalyptic number.

38183130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

38183130 is the 3090-th decagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38183130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51442560).

38183130 is an abundant number, since it is smaller than the sum of its proper divisors (64701990).

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

38183130 is a wasteful number, since it uses less digits than its factorization.

38183130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1492 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 38183130 is about 6179.2499544848. The cubic root of 38183130 is about 336.7367443356.

The spelling of 38183130 in words is "thirty-eight million, one hundred eighty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 103 135 206 270 309 515 618 927 1030 1373 1545 1854 2746 2781 3090 4119 4635 5562 6865 8238 9270 12357 13730 13905 20595 24714 27810 37071 41190 61785 74142 123570 141419 185355 282838 370710 424257 707095 848514 1272771 1414190 2121285 2545542 3818313 4242570 6363855 7636626 12727710 19091565 38183130