Search a number
-
+
1066074720 = 253510321563
BaseRepresentation
bin111111100010110…
…000001001100000
32202022000012120220
4333202300021200
54140403342340
6253441403040
735263325364
oct7742601140
92668005526
101066074720
114a7853797
12259039480
1313cb33159
14a182b2a4
15638d3ed0
hex3f8b0260

1066074720 has 96 divisors (see below), whose sum is σ = 3390895872. Its totient is φ = 281513472.

The previous prime is 1066074677. The next prime is 1066074733. The reversal of 1066074720 is 274706601.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10660747202 = 2273030617246156800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38659 + ... + 60221.

It is an arithmetic number, because the mean of its divisors is an integer number (35321832).

Almost surely, 21066074720 is an apocalyptic number.

1066074720 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 1066074720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1695447936).

1066074720 is an abundant number, since it is smaller than the sum of its proper divisors (2324821152).

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

1066074720 is a wasteful number, since it uses less digits than its factorization.

1066074720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21684 (or 21676 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 1066074720 is about 32650.7996839281. The cubic root of 1066074720 is about 1021.5568689201.

The spelling of 1066074720 in words is "one billion, sixty-six million, seventy-four thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 103 120 160 206 240 309 412 480 515 618 824 1030 1236 1545 1648 2060 2472 3090 3296 4120 4944 6180 8240 9888 12360 16480 21563 24720 43126 49440 64689 86252 107815 129378 172504 215630 258756 323445 345008 431260 517512 646890 690016 862520 1035024 1293780 1725040 2070048 2220989 2587560 3450080 4441978 5175120 6662967 8883956 10350240 11104945 13325934 17767912 22209890 26651868 33314835 35535824 44419780 53303736 66629670 71071648 88839560 106607472 133259340 177679120 213214944 266518680 355358240 533037360 1066074720