Search a number
-
+
920047000 = 23531914817
BaseRepresentation
bin110110110101101…
…100110110011000
32101010020020012211
4312311230312120
53341013001000
6231143444504
731541161525
oct6665546630
92333206184
10920047000
11432384a24
12218156734
131187c5312
148a29814c
1555b8b7ba
hex36d6cd98

920047000 has 64 divisors (see below), whose sum is σ = 2164631040. Its totient is φ = 366016000.

The previous prime is 920046979. The next prime is 920047031. The reversal of 920047000 is 740029.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188592 + ... + 193408.

It is an arithmetic number, because the mean of its divisors is an integer number (33822360).

Almost surely, 2920047000 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 920047000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1082315520).

920047000 is an abundant number, since it is smaller than the sum of its proper divisors (1244584040).

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

920047000 is a wasteful number, since it uses less digits than its factorization.

920047000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5029 (or 5015 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 920047000 is about 30332.2765383675. The cubic root of 920047000 is about 972.6053881379.

Adding to 920047000 its reverse (740029), we get a palindrome (920787029).

The spelling of 920047000 in words is "nine hundred twenty million, forty-seven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 191 200 250 382 500 764 955 1000 1528 1910 3820 4775 4817 7640 9550 9634 19100 19268 23875 24085 38200 38536 47750 48170 95500 96340 120425 191000 192680 240850 481700 602125 920047 963400 1204250 1840094 2408500 3680188 4600235 4817000 7360376 9200470 18400940 23001175 36801880 46002350 92004700 115005875 184009400 230011750 460023500 920047000