Search a number
-
+
1086739632 = 243311713221
BaseRepresentation
bin100000011000110…
…0101010010110000
32210201220002112000
41000301211102300
54211201132012
6255500334000
735634064056
oct10061452260
92721802460
101086739632
11508488630
12263b44300
131441ba104
14a448a1d6
1565616ddc
hex40c654b0

1086739632 has 160 divisors (see below), whose sum is σ = 3451921920. Its totient is φ = 324576000.

The previous prime is 1086739631. The next prime is 1086739639. The reversal of 1086739632 is 2369376801.

1086739632 is a `hidden beast` number, since 1 + 0 + 8 + 6 + 7 + 3 + 9 + 632 = 666.

It is not an unprimeable number, because it can be changed into a prime (1086739631) by changing a digit.

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, 335782 + ... + 339002.

It is an arithmetic number, because the mean of its divisors is an integer number (21574512).

Almost surely, 21086739632 is an apocalyptic number.

1086739632 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 1086739632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1725960960).

1086739632 is an abundant number, since it is smaller than the sum of its proper divisors (2365182288).

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

1086739632 is a wasteful number, since it uses less digits than its factorization.

1086739632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3320 (or 3308 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 1086739632 is about 32965.7342099338. The cubic root of 1086739632 is about 1028.1153307196.

The spelling of 1086739632 in words is "one billion, eighty-six million, seven hundred thirty-nine thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 71 72 88 99 108 132 142 144 176 198 213 216 264 284 297 396 426 432 528 568 594 639 781 792 852 1136 1188 1278 1562 1584 1704 1917 2343 2376 2556 3124 3221 3408 3834 4686 4752 5112 6248 6442 7029 7668 9372 9663 10224 12496 12884 14058 15336 18744 19326 21087 25768 28116 28989 30672 35431 37488 38652 42174 51536 56232 57978 70862 77304 84348 86967 106293 112464 115956 141724 154608 168696 173934 212586 228691 231912 283448 318879 337392 347868 425172 457382 463824 566896 637758 686073 695736 850344 914764 956637 1275516 1372146 1391472 1700688 1829528 1913274 2058219 2515601 2551032 2744292 3659056 3826548 4116438 5031202 5102064 5488584 6174657 7546803 7653096 8232876 10062404 10977168 12349314 15093606 15306192 16465752 20124808 22640409 24698628 30187212 32931504 40249616 45280818 49397256 60374424 67921227 90561636 98794512 120748848 135842454 181123272 271684908 362246544 543369816 1086739632