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1006005550 = 2521113913159
BaseRepresentation
bin111011111101100…
…110110100101110
32121002222101011211
4323331212310232
54030014134200
6243454105034
733633622534
oct7375466456
92532871154
101006005550
11476955950
12240aab17a
13130560874
1497872154
155d4baaba
hex3bf66d2e

1006005550 has 48 divisors (see below), whose sum is σ = 2056118400. Its totient is φ = 363160800.

The previous prime is 1006005541. The next prime is 1006005569. The reversal of 1006005550 is 555006001.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69871 + ... + 83029.

It is an arithmetic number, because the mean of its divisors is an integer number (42835800).

Almost surely, 21006005550 is an apocalyptic number.

1006005550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1006005550 is an abundant number, since it is smaller than the sum of its proper divisors (1050112850).

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

1006005550 is a wasteful number, since it uses less digits than its factorization.

1006005550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13321 (or 13316 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 22.

The square root of 1006005550 is about 31717.5905453110. The cubic root of 1006005550 is about 1001.9978559136.

The spelling of 1006005550 in words is "one billion, six million, five thousand, five hundred fifty".

Divisors: 1 2 5 10 11 22 25 50 55 110 139 275 278 550 695 1390 1529 3058 3475 6950 7645 13159 15290 26318 38225 65795 76450 131590 144749 289498 328975 657950 723745 1447490 1829101 3618725 3658202 7237450 9145505 18291010 20120111 40240222 45727525 91455050 100600555 201201110 503002775 1006005550