Search a number
-
+
106532496 = 2434711743
BaseRepresentation
bin1100101100110…
…00111010010000
321102110102010000
412112120322100
5204233014441
614323210000
72432340240
oct626307220
9242412100
10106532496
1155153494
122b816900
13190bcca5
1410211b20
1595452b6
hex6598e90

106532496 has 100 divisors (see below), whose sum is σ = 352413952. Its totient is φ = 30435264.

The previous prime is 106532483. The next prime is 106532501. The reversal of 106532496 is 694235601.

It is a happy number.

It is a super-2 number, since 2×1065324962 = 22698345407980032, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 106532496.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3201 + ... + 14943.

Almost surely, 2106532496 is an apocalyptic number.

106532496 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 106532496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176206976).

106532496 is an abundant number, since it is smaller than the sum of its proper divisors (245881456).

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

106532496 is a wasteful number, since it uses less digits than its factorization.

106532496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11770 (or 11755 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 106532496 is about 10321.4580365373. The cubic root of 106532496 is about 474.0535110234.

The spelling of 106532496 in words is "one hundred six million, five hundred thirty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 252 324 336 378 432 504 567 648 756 1008 1134 1296 1512 2268 3024 4536 9072 11743 23486 35229 46972 70458 82201 93944 105687 140916 164402 187888 211374 246603 281832 317061 328804 422748 493206 563664 634122 657608 739809 845496 951183 986412 1268244 1315216 1479618 1690992 1902366 1972824 2219427 2536488 2959236 3804732 3945648 4438854 5072976 5918472 6658281 7609464 8877708 11836944 13316562 15218928 17755416 26633124 35510832 53266248 106532496