Search a number
-
+
1645666380 = 2232519796091
BaseRepresentation
bin110001000010110…
…1110000001001100
311020200121111212200
41202011232001030
511332242311010
6431144201500
755531635111
oct14205560114
94220544780
101645666380
11774a32566
1239b169290
13202c347b7
141187c0908
159971ecc0
hex6216e04c

1645666380 has 144 divisors (see below), whose sum is σ = 5321971200. Its totient is φ = 410417280.

The previous prime is 1645666367. The next prime is 1645666387. The reversal of 1645666380 is 836665461.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1645666387) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 267135 + ... + 273225.

Almost surely, 21645666380 is an apocalyptic number.

1645666380 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 1645666380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2660985600).

1645666380 is an abundant number, since it is smaller than the sum of its proper divisors (3676304820).

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

1645666380 is a wasteful number, since it uses less digits than its factorization.

1645666380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6204 (or 6199 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 1645666380 is about 40566.8137767806. The cubic root of 1645666380 is about 1180.6303201415.

The spelling of 1645666380 in words is "one billion, six hundred forty-five million, six hundred sixty-six thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 79 90 95 114 158 171 180 190 228 237 285 316 342 380 395 474 570 684 711 790 855 948 1140 1185 1422 1501 1580 1710 2370 2844 3002 3420 3555 4503 4740 6004 6091 7110 7505 9006 12182 13509 14220 15010 18012 18273 22515 24364 27018 30020 30455 36546 45030 54036 54819 60910 67545 73092 90060 91365 109638 115729 121820 135090 182730 219276 231458 270180 274095 347187 365460 462916 481189 548190 578645 694374 962378 1041561 1096380 1157290 1388748 1443567 1735935 1924756 2083122 2314580 2405945 2887134 3471870 4166244 4330701 4811890 5207805 5774268 6943740 7217835 8661402 9142591 9623780 10415610 14435670 17322804 18285182 20831220 21653505 27427773 28871340 36570364 43307010 45712955 54855546 82283319 86614020 91425910 109711092 137138865 164566638 182851820 274277730 329133276 411416595 548555460 822833190 1645666380