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1050012340 = 225134578837
BaseRepresentation
bin111110100101011…
…110101010110100
32201011210011010221
4332211132222310
54122300343330
6252105224124
735006646316
oct7645365264
92634704127
101050012340
114997828a3
12253792044
131396cb0a0
149d6497b6
15622aeb7a
hex3e95eab4

1050012340 has 48 divisors (see below), whose sum is σ = 2380108752. Its totient is φ = 386804736.

The previous prime is 1050012331. The next prime is 1050012347. The reversal of 1050012340 is 432100501.

It can be written as a sum of positive squares in 8 ways, for example, as 104080804 + 945931536 = 10202^2 + 30756^2 .

It is a super-2 number, since 2×10500123402 = 2205051828304551200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1050012347) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114402 + ... + 123238.

It is an arithmetic number, because the mean of its divisors is an integer number (49585599).

Almost surely, 21050012340 is an apocalyptic number.

1050012340 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 1050012340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1190054376).

1050012340 is an abundant number, since it is smaller than the sum of its proper divisors (1330096412).

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

1050012340 is a wasteful number, since it uses less digits than its factorization.

1050012340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9316 (or 9314 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 1050012340 is about 32403.8939018137. The cubic root of 1050012340 is about 1016.4003384917.

Adding to 1050012340 its reverse (432100501), we get a palindrome (1482112841).

The spelling of 1050012340 in words is "one billion, fifty million, twelve thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 457 914 1828 2285 4570 5941 8837 9140 11882 17674 23764 29705 35348 44185 59410 88370 114881 118820 176740 229762 459524 574405 1148810 2297620 4038509 8077018 16154036 20192545 40385090 52500617 80770180 105001234 210002468 262503085 525006170 1050012340