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1066444720 = 245114328183
BaseRepresentation
bin111111100100001…
…010011110110000
32202022201000010121
4333210022132300
54141002212340
6253453340024
735266426165
oct7744123660
92668630117
101066444720
114a7a86780
12259197614
1313cc326a3
14a18c606c
156395894a
hex3f90a7b0

1066444720 has 80 divisors (see below), whose sum is σ = 2767894272. Its totient is φ = 378766080.

The previous prime is 1066444693. The next prime is 1066444723. The reversal of 1066444720 is 274446601.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10664447202 = 2274608681631756800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1066444723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23749 + ... + 51931.

Almost surely, 21066444720 is an apocalyptic number.

1066444720 is a gapful number since it is divisible by the number (10) 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 1066444720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383947136).

1066444720 is an abundant number, since it is smaller than the sum of its proper divisors (1701449552).

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

1066444720 is a wasteful number, since it uses less digits than its factorization.

1066444720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28250 (or 28244 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 1066444720 is about 32656.4652098172. The cubic root of 1066444720 is about 1021.6750383489.

The spelling of 1066444720 in words is "one billion, sixty-six million, four hundred forty-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 43 44 55 80 86 88 110 172 176 215 220 344 430 440 473 688 860 880 946 1720 1892 2365 3440 3784 4730 7568 9460 18920 28183 37840 56366 112732 140915 225464 281830 310013 450928 563660 620026 1127320 1211869 1240052 1550065 2254640 2423738 2480104 3100130 4847476 4960208 6059345 6200260 9694952 12118690 12400520 13330559 19389904 24237380 24801040 26661118 48474760 53322236 66652795 96949520 106644472 133305590 213288944 266611180 533222360 1066444720