Search a number
-
+
1066605100 = 225211969641
BaseRepresentation
bin111111100100110…
…001101000101100
32202100000011010121
4333210301220230
54141022330400
6253501014324
735300664601
oct7744615054
92670004117
101066605100
114a8086220
122592543a4
1313cc8a6a2
14a19286a8
156398b21a
hex3f931a2c

1066605100 has 36 divisors (see below), whose sum is σ = 2524947768. Its totient is φ = 387856000.

The previous prime is 1066605073. The next prime is 1066605101. The reversal of 1066605100 is 15066601.

1066605100 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10666051002 = 2275292878692020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1066605101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 483721 + ... + 485920.

It is an arithmetic number, because the mean of its divisors is an integer number (70137438).

Almost surely, 21066605100 is an apocalyptic number.

1066605100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1066605100 is an abundant number, since it is smaller than the sum of its proper divisors (1458342668).

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

1066605100 is a wasteful number, since it uses less digits than its factorization.

1066605100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969666 (or 969659 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 1066605100 is about 32658.9206802674. The cubic root of 1066605100 is about 1021.7262515143.

The spelling of 1066605100 in words is "one billion, sixty-six million, six hundred five thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 969641 1939282 3878564 4848205 9696410 10666051 19392820 21332102 24241025 42664204 48482050 53330255 96964100 106660510 213321020 266651275 533302550 1066605100