Search a number
-
+
920127740 = 225731415171
BaseRepresentation
bin110110110110000…
…000100011111100
32101010101022222012
4312312000203330
53341023041430
6231145310352
731541646110
oct6666004374
92333338865
10920127740
1143242a654
122181953b8
13118822cac
148a2b9740
1555ba5695
hex36d808fc

920127740 has 96 divisors (see below), whose sum is σ = 2335592448. Its totient is φ = 297792000.

The previous prime is 920127739. The next prime is 920127743. The reversal of 920127740 is 47721029.

920127740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 920127697 and 920127706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (920127743) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175355 + ... + 180525.

It is an arithmetic number, because the mean of its divisors is an integer number (24329088).

Almost surely, 2920127740 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 920127740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1167796224).

920127740 is an abundant number, since it is smaller than the sum of its proper divisors (1415464708).

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

920127740 is a wasteful number, since it uses less digits than its factorization.

920127740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5259 (or 5257 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 32.

The square root of 920127740 is about 30333.6074346590. The cubic root of 920127740 is about 972.6338380837.

Adding to 920127740 its reverse (47721029), we get a palindrome (967848769).

The spelling of 920127740 in words is "nine hundred twenty million, one hundred twenty-seven thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 41 62 70 82 124 140 155 164 205 217 287 310 410 434 574 620 820 868 1085 1148 1271 1435 2170 2542 2870 4340 5084 5171 5740 6355 8897 10342 12710 17794 20684 25420 25855 35588 36197 44485 51710 72394 88970 103420 144788 160301 177940 180985 212011 320602 361970 424022 641204 723940 801505 848044 1060055 1122107 1484077 1603010 2120110 2244214 2968154 3206020 4240220 4488428 5610535 5936308 6572341 7420385 11221070 13144682 14840770 22442140 26289364 29681540 32861705 46006387 65723410 92012774 131446820 184025548 230031935 460063870 920127740