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1664030520 = 233359471627
BaseRepresentation
bin110001100101111…
…0001011100111000
311021222011111202000
41203023301130320
511401442434040
6433041541000
756144011635
oct14313613470
94258144660
101664030520
11784335839
123a5344760
13206994459
1411b00118c
159b14b130
hex632f1738

1664030520 has 128 divisors (see below), whose sum is σ = 5556038400. Its totient is φ = 443000448.

The previous prime is 1664030497. The next prime is 1664030521. The reversal of 1664030520 is 250304661.

1664030520 is a `hidden beast` number, since 16 + 640 + 3 + 0 + 5 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1664030521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1021947 + ... + 1023573.

It is an arithmetic number, because the mean of its divisors is an integer number (43406550).

Almost surely, 21664030520 is an apocalyptic number.

1664030520 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 1664030520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2778019200).

1664030520 is an abundant number, since it is smaller than the sum of its proper divisors (3892007880).

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

1664030520 is a wasteful number, since it uses less digits than its factorization.

1664030520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2594 (or 2584 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1664030520 is about 40792.5301985547. The cubic root of 1664030520 is about 1185.0056721408.

The spelling of 1664030520 in words is "one billion, six hundred sixty-four million, thirty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 947 1080 1627 1894 2841 3254 3788 4735 4881 5682 6508 7576 8135 8523 9470 9762 11364 13016 14205 14643 16270 17046 18940 19524 22728 24405 25569 28410 29286 32540 34092 37880 39048 42615 43929 48810 51138 56820 58572 65080 68184 73215 85230 87858 97620 102276 113640 117144 127845 146430 170460 175716 195240 204552 219645 255690 292860 340920 351432 439290 511380 585720 878580 1022760 1540769 1757160 3081538 4622307 6163076 7703845 9244614 12326152 13866921 15407690 18489228 23111535 27733842 30815380 36978456 41600763 46223070 55467684 61630760 69334605 83201526 92446140 110935368 138669210 166403052 184892280 208003815 277338420 332806104 416007630 554676840 832015260 1664030520