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921053000 = 23537218797
BaseRepresentation
bin110110111001100…
…010011101001000
32101012010100012002
4312321202131020
53341242144000
6231221210132
731552551500
oct6671423510
92335110162
10921053000
11432a0182a
12218560948
13118a8819a
148a47aa00
1555cd98d5
hex36e62748

921053000 has 96 divisors (see below), whose sum is σ = 2507277240. Its totient is φ = 315772800.

The previous prime is 921052999. The next prime is 921053011. The reversal of 921053000 is 350129.

921053000 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 4 ways, for example, as 429898756 + 491154244 = 20734^2 + 22162^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 39602 + ... + 58398.

Almost surely, 2921053000 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 921053000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1253638620).

921053000 is an abundant number, since it is smaller than the sum of its proper divisors (1586224240).

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

921053000 is a wasteful number, since it uses less digits than its factorization.

921053000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18832 (or 18811 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 20.

The square root of 921053000 is about 30348.8550031134. The cubic root of 921053000 is about 972.9597485203.

The spelling of 921053000 in words is "nine hundred twenty-one million, fifty-three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 125 140 175 196 200 245 250 280 350 392 490 500 700 875 980 1000 1225 1400 1750 1960 2450 3500 4900 6125 7000 9800 12250 18797 24500 37594 49000 75188 93985 131579 150376 187970 263158 375940 469925 526316 657895 751880 921053 939850 1052632 1315790 1842106 1879700 2349625 2631580 3289475 3684212 3759400 4605265 4699250 5263160 6578950 7368424 9210530 9398500 13157900 16447375 18421060 18797000 23026325 26315800 32894750 36842120 46052650 65789500 92105300 115131625 131579000 184210600 230263250 460526500 921053000