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1006740980 = 22577191007
BaseRepresentation
bin111100000000011…
…010010111110100
32121011100201222222
4330000122113310
54030211202410
6243521541512
733643104620
oct7400322764
92534321888
101006740980
11477308443
122411a4898
1313075a52b
14979c4180
155d5b3955
hex3c01a5f4

1006740980 has 24 divisors (see below), whose sum is σ = 2416178688. Its totient is φ = 345168288.

The previous prime is 1006740953. The next prime is 1006740997. The reversal of 1006740980 is 890476001.

It is a super-2 number, since 2×10067409802 = 2027054801622720800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 1006740980.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3595364 + ... + 3595643.

It is an arithmetic number, because the mean of its divisors is an integer number (100674112).

Almost surely, 21006740980 is an apocalyptic number.

1006740980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1006740980 is an abundant number, since it is smaller than the sum of its proper divisors (1409437708).

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

1006740980 is a wasteful number, since it uses less digits than its factorization.

1006740980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7191023 (or 7191021 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 1006740980 is about 31729.1818362844. The cubic root of 1006740980 is about 1002.2419631781.

The spelling of 1006740980 in words is "one billion, six million, seven hundred forty thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 7191007 14382014 28764028 35955035 50337049 71910070 100674098 143820140 201348196 251685245 503370490 1006740980