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1007130416 = 24193312929
BaseRepresentation
bin111100000001111…
…001011100110000
32121012002112012112
4330001321130300
54030311133131
6243534144452
733646316165
oct7401713460
92535075175
101007130416
11477553a96
12241352128
13130865876
1497a8606c
155d63e02b
hex3c079730

1007130416 has 20 divisors (see below), whose sum is σ = 2054016600. Its totient is φ = 477061632.

The previous prime is 1007130409. The next prime is 1007130419. The reversal of 1007130416 is 6140317001.

It is a junction number, because it is equal to n+sod(n) for n = 1007130391 and 1007130400.

It is not an unprimeable number, because it can be changed into a prime (1007130419) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1656161 + ... + 1656768.

It is an arithmetic number, because the mean of its divisors is an integer number (102700830).

Almost surely, 21007130416 is an apocalyptic number.

1007130416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1007130416 is an abundant number, since it is smaller than the sum of its proper divisors (1046886184).

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

1007130416 is a wasteful number, since it uses less digits than its factorization.

1007130416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3312956 (or 3312950 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 1007130416 is about 31735.3181172019. The cubic root of 1007130416 is about 1002.3711784023.

Adding to 1007130416 its reverse (6140317001), we get a palindrome (7147447417).

The spelling of 1007130416 in words is "one billion, seven million, one hundred thirty thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 19 38 76 152 304 3312929 6625858 13251716 26503432 53006864 62945651 125891302 251782604 503565208 1007130416