Search a number
-
+
1145166000 = 243531117351
BaseRepresentation
bin100010001000001…
…1101100010110000
32221210211110102120
41010100131202300
54321130303000
6305344514240
740243515246
oct10420354260
92853743376
101145166000
11538464190
1227b61b980
13153335a24
14ac138796
156a8086a0
hex4441d8b0

1145166000 has 160 divisors (see below), whose sum is σ = 4027885056. Its totient is φ = 277600000.

The previous prime is 1145165999. The next prime is 1145166017. The reversal of 1145166000 is 6615411.

It is a super-2 number, since 2×11451660002 = 2622810335112000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57325 + ... + 74675.

Almost surely, 21145166000 is an apocalyptic number.

1145166000 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 1145166000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2013942528).

1145166000 is an abundant number, since it is smaller than the sum of its proper divisors (2882719056).

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

1145166000 is a wasteful number, since it uses less digits than its factorization.

1145166000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17388 (or 17372 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 1145166000 is about 33840.3014170973. The cubic root of 1145166000 is about 1046.2195113937.

The spelling of 1145166000 in words is "one billion, one hundred forty-five million, one hundred sixty-six thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 125 132 150 165 176 200 220 240 250 264 275 300 330 375 400 440 500 528 550 600 660 750 825 880 1000 1100 1200 1320 1375 1500 1650 2000 2200 2640 2750 3000 3300 4125 4400 5500 6000 6600 8250 11000 13200 16500 17351 22000 33000 34702 52053 66000 69404 86755 104106 138808 173510 190861 208212 260265 277616 347020 381722 416424 433775 520530 572583 694040 763444 832848 867550 954305 1041060 1145166 1301325 1388080 1526888 1735100 1908610 2082120 2168875 2290332 2602650 2862915 3053776 3470200 3817220 4164240 4337750 4580664 4771525 5205300 5725830 6506625 6940400 7634440 8675500 9161328 9543050 10410600 11451660 13013250 14314575 15268880 17351000 19086100 20821200 22903320 23857625 26026500 28629150 34702000 38172200 45806640 47715250 52053000 57258300 71572875 76344400 95430500 104106000 114516600 143145750 190861000 229033200 286291500 381722000 572583000 1145166000