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1006755690 = 235311082533
BaseRepresentation
bin111100000000011…
…101111101101010
32121011101111011210
4330000131331222
54030212140230
6243522133550
733643165533
oct7400357552
92534344153
101006755690
114773184a6
122411b12b6
13130764135
14979c968a
155d5b7eb0
hex3c01df6a

1006755690 has 32 divisors (see below), whose sum is σ = 2494158336. Its totient is φ = 259807680.

The previous prime is 1006755671. The next prime is 1006755703. The reversal of 1006755690 is 965576001.

It is a super-2 number, since 2×10067556902 = 2027114038694752200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 540337 + ... + 542196.

It is an arithmetic number, because the mean of its divisors is an integer number (77942448).

Almost surely, 21006755690 is an apocalyptic number.

1006755690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1006755690 is an abundant number, since it is smaller than the sum of its proper divisors (1487402646).

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

1006755690 is a wasteful number, since it uses less digits than its factorization.

1006755690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082574.

The product of its (nonzero) digits is 56700, while the sum is 39.

The square root of 1006755690 is about 31729.4136409736. The cubic root of 1006755690 is about 1002.2468445752.

The spelling of 1006755690 in words is "one billion, six million, seven hundred fifty-five thousand, six hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 310 465 930 1082533 2165066 3247599 5412665 6495198 10825330 16237995 32475990 33558523 67117046 100675569 167792615 201351138 335585230 503377845 1006755690