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1006989616 = 2431279829
BaseRepresentation
bin111100000001010…
…111000100110000
32121011211101001201
4330001113010300
54030242131431
6243531140544
733645161533
oct7401270460
92534741051
101006989616
11477468226
122412a4754
13130816759
1497a4aa1a
155d612461
hex3c057130

1006989616 has 60 divisors (see below), whose sum is σ = 2043991200. Its totient is φ = 480504960.

The previous prime is 1006989601. The next prime is 1006989629. The reversal of 1006989616 is 6169896001.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1214290 + ... + 1215118.

It is an arithmetic number, because the mean of its divisors is an integer number (34066520).

Almost surely, 21006989616 is an apocalyptic number.

1006989616 is a gapful number since it is divisible by the number (16) 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 1006989616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021995600).

1006989616 is an abundant number, since it is smaller than the sum of its proper divisors (1037001584).

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

1006989616 is an equidigital number, since it uses as much as digits as its factorization.

1006989616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 46.

The square root of 1006989616 is about 31733.0996910166. The cubic root of 1006989616 is about 1002.3244646775.

The spelling of 1006989616 in words is "one billion, six million, nine hundred eighty-nine thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 31 62 79 124 158 248 316 496 632 829 961 1264 1658 1922 2449 3316 3844 4898 6632 7688 9796 13264 15376 19592 25699 39184 51398 65491 75919 102796 130982 151838 205592 261964 303676 411184 523928 607352 796669 1047856 1214704 1593338 2030221 3186676 4060442 6373352 8120884 12746704 16241768 32483536 62936851 125873702 251747404 503494808 1006989616