Search a number
-
+
1066608432 = 243383151197
BaseRepresentation
bin111111100100110…
…010011100110000
32202100000022201000
4333210302130300
54141022432212
6253501042000
735301010401
oct7744623460
92670008630
101066608432
114a808877a
12259256300
1313cc8c066
14a19299a8
156398c1dc
hex3f932730

1066608432 has 160 divisors (see below), whose sum is σ = 3134799360. Its totient is φ = 347155200.

The previous prime is 1066608409. The next prime is 1066608457. The reversal of 1066608432 is 2348066601.

It is a super-2 number, since 2×10666084322 = 2275307094426997248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5414158 + ... + 5414354.

It is an arithmetic number, because the mean of its divisors is an integer number (19592496).

Almost surely, 21066608432 is an apocalyptic number.

1066608432 is a gapful number since it is divisible by the number (12) 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 1066608432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1567399680).

1066608432 is an abundant number, since it is smaller than the sum of its proper divisors (2068190928).

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

1066608432 is a wasteful number, since it uses less digits than its factorization.

1066608432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1066608432 is about 32658.9716923237. The cubic root of 1066608432 is about 1021.7273154470.

The spelling of 1066608432 in words is "one billion, sixty-six million, six hundred eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 83 108 144 151 166 197 216 249 302 332 394 432 453 498 591 604 664 747 788 906 996 1182 1208 1328 1359 1494 1576 1773 1812 1992 2241 2364 2416 2718 2988 3152 3546 3624 3984 4077 4482 4728 5319 5436 5976 7092 7248 8154 8964 9456 10638 10872 11952 12533 14184 16308 16351 17928 21276 21744 25066 28368 29747 32616 32702 35856 37599 42552 49053 50132 59494 65232 65404 75198 85104 89241 98106 100264 112797 118988 130808 147159 150396 178482 196212 200528 225594 237976 261616 267723 294318 300792 338391 356964 392424 441477 451188 475952 535446 588636 601584 676782 713928 784848 803169 882954 902376 1070892 1177272 1353564 1427856 1606338 1765908 1804752 2141784 2354544 2469001 2707128 3212676 3531816 4283568 4938002 5414256 6425352 7063632 7407003 9876004 12850704 14814006 19752008 22221009 29628012 39504016 44442018 59256024 66663027 88884036 118512048 133326054 177768072 266652108 355536144 533304216 1066608432