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39931380 = 223451572
BaseRepresentation
bin1001100001010…
…0110111110100
32210010201120000
42120110313310
540210301010
63543511300
7663261006
oct230246764
983121500
1039931380
11205a4045
1211458530
138371548
145436376
15378b7c0
hex2614df4

39931380 has 90 divisors (see below), whose sum is σ = 126069174. Its totient is φ = 10580544.

The previous prime is 39931373. The next prime is 39931457. The reversal of 39931380 is 8313993.

39931380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 467856 + 39463524 = 684^2 + 6282^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 254262 + ... + 254418.

Almost surely, 239931380 is an apocalyptic number.

39931380 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 39931380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63034587).

39931380 is an abundant number, since it is smaller than the sum of its proper divisors (86137794).

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

39931380 is a wasteful number, since it uses less digits than its factorization.

39931380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 39931380 is about 6319.1281044144. The cubic root of 39931380 is about 341.7995131494.

The spelling of 39931380 in words is "thirty-nine million, nine hundred thirty-one thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 157 162 180 270 314 324 405 471 540 628 785 810 942 1413 1570 1620 1884 2355 2826 3140 4239 4710 5652 7065 8478 9420 12717 14130 16956 21195 24649 25434 28260 42390 49298 50868 63585 73947 84780 98596 123245 127170 147894 221841 246490 254340 295788 369735 443682 492980 665523 739470 887364 1109205 1331046 1478940 1996569 2218410 2662092 3327615 3993138 4436820 6655230 7986276 9982845 13310460 19965690 39931380