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1065383920 = 245233715649
BaseRepresentation
bin111111100000000…
…111011111110000
32202020201002222201
4333200013133300
54140214241140
6253414512544
735254420366
oct7740073760
92666632881
101065383920
114a7421787
12258965754
1313c9508b3
14a16cb636
15637e949a
hex3f8077f0

1065383920 has 80 divisors (see below), whose sum is σ = 2654740800. Its totient is φ = 396582912.

The previous prime is 1065383911. The next prime is 1065383923. The reversal of 1065383920 is 293835601.

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

It is a super-2 number, since 2×10653839202 = 2270085793989132800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 1065383920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1065383923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60256 + ... + 75904.

It is an arithmetic number, because the mean of its divisors is an integer number (33184260).

Almost surely, 21065383920 is an apocalyptic number.

1065383920 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 1065383920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1327370400).

1065383920 is an abundant number, since it is smaller than the sum of its proper divisors (1589356880).

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

1065383920 is a wasteful number, since it uses less digits than its factorization.

1065383920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15722 (or 15716 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 1065383920 is about 32640.2193620080. The cubic root of 1065383920 is about 1021.3361702041.

The spelling of 1065383920 in words is "one billion, sixty-five million, three hundred eighty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 37 40 46 74 80 92 115 148 184 185 230 296 368 370 460 592 740 851 920 1480 1702 1840 2960 3404 4255 6808 8510 13616 15649 17020 31298 34040 62596 68080 78245 125192 156490 250384 312980 359927 579013 625960 719854 1158026 1251920 1439708 1799635 2316052 2879416 2895065 3599270 4632104 5758832 5790130 7198540 9264208 11580260 13317299 14397080 23160520 26634598 28794160 46321040 53269196 66586495 106538392 133172990 213076784 266345980 532691960 1065383920