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1020470000 = 2454119277
BaseRepresentation
bin111100110100110…
…010001011110000
32122010012020200012
4330310302023300
54042220020000
6245132114052
734200565124
oct7464621360
92563166605
101020470000
11484035240
12245905928
13133556504
1499759584
155e8c6735
hex3cd322f0

1020470000 has 100 divisors (see below), whose sum is σ = 2695555896. Its totient is φ = 371040000.

The previous prime is 1020469991. The next prime is 1020470053. The reversal of 1020470000 is 740201.

It is a happy number.

1020470000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 105362 + ... + 114638.

Almost surely, 21020470000 is an apocalyptic number.

1020470000 is a gapful number since it is divisible by the number (10) 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 1020470000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347777948).

1020470000 is an abundant number, since it is smaller than the sum of its proper divisors (1675085896).

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

1020470000 is an equidigital number, since it uses as much as digits as its factorization.

1020470000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9316 (or 9295 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 1020470000 is about 31944.7961333298. The cubic root of 1020470000 is about 1006.7772978034. Note that the first 3 decimals are identical.

The spelling of 1020470000 in words is "one billion, twenty million, four hundred seventy thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 625 880 1000 1100 1250 1375 2000 2200 2500 2750 4400 5000 5500 6875 9277 10000 11000 13750 18554 22000 27500 37108 46385 55000 74216 92770 102047 110000 148432 185540 204094 231925 371080 408188 463850 510235 742160 816376 927700 1020470 1159625 1632752 1855400 2040940 2319250 2551175 3710800 4081880 4638500 5102350 5798125 8163760 9277000 10204700 11596250 12755875 18554000 20409400 23192500 25511750 40818800 46385000 51023500 63779375 92770000 102047000 127558750 204094000 255117500 510235000 1020470000