Search a number
-
+
1090437936 = 243717349547
BaseRepresentation
bin100000011111110…
…1100001100110000
32210222211222122020
41000333230030300
54213123003221
6300111511440
736010366230
oct10077541460
92728758566
101090437936
1150a584185
12265228580
13144bb3563
14a4b6dcc0
1565ae7ac6
hex40fec330

1090437936 has 160 divisors (see below), whose sum is σ = 3424780800. Its totient is φ = 291852288.

The previous prime is 1090437917. The next prime is 1090437947. The reversal of 1090437936 is 6397340901.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 1993215 + ... + 1993761.

It is an arithmetic number, because the mean of its divisors is an integer number (21404880).

Almost surely, 21090437936 is an apocalyptic number.

1090437936 is a gapful number since it is divisible by the number (16) 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 1090437936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1712390400).

1090437936 is an abundant number, since it is smaller than the sum of its proper divisors (2334342864).

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

1090437936 is a wasteful number, since it uses less digits than its factorization.

1090437936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 42.

The square root of 1090437936 is about 33021.7797218745. The cubic root of 1090437936 is about 1029.2802764152.

The spelling of 1090437936 in words is "one billion, ninety million, four hundred thirty-seven thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 112 119 136 168 204 238 272 336 349 357 408 476 547 698 714 816 952 1047 1094 1396 1428 1641 1904 2094 2188 2443 2792 2856 3282 3829 4188 4376 4886 5584 5712 5933 6564 7329 7658 8376 8752 9299 9772 11487 11866 13128 14658 15316 16752 17799 18598 19544 22974 23732 26256 27897 29316 30632 35598 37196 39088 41531 45948 47464 55794 58632 61264 65093 71196 74392 83062 91896 94928 111588 117264 124593 130186 142392 148784 166124 183792 190903 195279 223176 249186 260372 284784 332248 381806 390558 446352 498372 520744 572709 664496 763612 781116 996744 1041488 1145418 1336321 1527224 1562232 1993488 2290836 2672642 3054448 3124464 3245351 4008963 4581672 5345284 6490702 8017926 9163344 9736053 10690568 12981404 16035852 19472106 21381136 22717457 25962808 32071704 38944212 45434914 51925616 64143408 68152371 77888424 90869828 136304742 155776848 181739656 272609484 363479312 545218968 1090437936