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1066608972 = 2234111323021
BaseRepresentation
bin111111100100110…
…010100101001100
32202100000100110000
4333210302211030
54141022441342
6253501044300
735301012102
oct7744624514
92670010400
101066608972
114a8089120
12259256690
1313cc8c390
14a1929c72
156398c44c
hex3f93294c

1066608972 has 120 divisors (see below), whose sum is σ = 3275938512. Its totient is φ = 298339200.

The previous prime is 1066608899. The next prime is 1066608989. The reversal of 1066608972 is 2798066601.

It is a super-2 number, since 2×10666089722 = 2275309398301793568, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 34822 + ... + 57842.

Almost surely, 21066608972 is an apocalyptic number.

1066608972 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 1066608972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637969256).

1066608972 is an abundant number, since it is smaller than the sum of its proper divisors (2209329540).

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

1066608972 is a wasteful number, since it uses less digits than its factorization.

1066608972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23061 (or 23050 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 1066608972 is about 32658.9799595762. The cubic root of 1066608972 is about 1021.7274878729.

The spelling of 1066608972 in words is "one billion, sixty-six million, six hundred eight thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 27 33 36 39 44 52 54 66 78 81 99 108 117 132 143 156 162 198 234 286 297 324 351 396 429 468 572 594 702 858 891 1053 1188 1287 1404 1716 1782 2106 2574 3564 3861 4212 5148 7722 11583 15444 23021 23166 46042 46332 69063 92084 138126 207189 253231 276252 299273 414378 506462 598546 621567 759693 828756 897819 1012924 1197092 1243134 1519386 1795638 1864701 2279079 2486268 2693457 3038772 3292003 3591276 3729402 4558158 5386914 6584006 6837237 7458804 8080371 9116316 9876009 10773828 13168012 13674474 16160742 19752018 20511711 24241113 27348948 29628027 32321484 39504036 41023422 48482226 59256054 82046844 88884081 96964452 118512108 177768162 266652243 355536324 533304486 1066608972