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1063062500 = 225673233
BaseRepresentation
bin111111010111010…
…000101111100100
32202002100011121012
4333113100233210
54134121000000
6253253041352
735225611403
oct7727205744
92662304535
101063062500
114a6086655
12258026258
1313c31a086
14a128563a
15634db735
hex3f5d0be4

1063062500 has 84 divisors (see below), whose sum is σ = 2367391572. Its totient is φ = 417600000.

The previous prime is 1063062493. The next prime is 1063062527. The reversal of 1063062500 is 52603601.

It can be written as a sum of positive squares in 14 ways, for example, as 771950656 + 291111844 = 27784^2 + 17062^2 .

It is a super-2 number, since 2×10630625002 = 2260203757812500000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 4562384 + ... + 4562616.

It is an arithmetic number, because the mean of its divisors is an integer number (28183233).

Almost surely, 21063062500 is an apocalyptic number.

1063062500 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 1063062500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1183695786).

1063062500 is an abundant number, since it is smaller than the sum of its proper divisors (1304329072).

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

1063062500 is an frugal number, since it uses more digits than its factorization.

1063062500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 1063062500 is about 32604.6392404517. The cubic root of 1063062500 is about 1020.5938167303.

The spelling of 1063062500 in words is "one billion, sixty-three million, sixty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 125 146 233 250 292 365 466 500 625 730 932 1165 1250 1460 1825 2330 2500 3125 3650 4660 5825 6250 7300 9125 11650 12500 15625 17009 18250 23300 29125 31250 34018 36500 45625 58250 62500 68036 85045 91250 116500 145625 170090 182500 228125 291250 340180 425225 456250 582500 728125 850450 912500 1140625 1456250 1700900 2126125 2281250 2912500 3640625 4252250 4562500 7281250 8504500 10630625 14562500 21261250 42522500 53153125 106306250 212612500 265765625 531531250 1063062500