Search a number
-
+
102246408 = 233311231871
BaseRepresentation
bin1100001100000…
…10100000001000
321010101122201000
412012002200020
5202133341113
614051255000
72351036325
oct606024010
9233348630
10102246408
1152796270
122a2aa460
131824c144
14d817b4c
158e9a373
hex6182808

102246408 has 128 divisors (see below), whose sum is σ = 323481600. Its totient is φ = 29620800.

The previous prime is 102246383. The next prime is 102246409. The reversal of 102246408 is 804642201.

102246408 is a `hidden beast` number, since 10 + 2 + 2 + 4 + 640 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (102246409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53713 + ... + 55583.

It is an arithmetic number, because the mean of its divisors is an integer number (2527200).

Almost surely, 2102246408 is an apocalyptic number.

102246408 is a gapful number since it is divisible by the number (18) 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 102246408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161740800).

102246408 is an abundant number, since it is smaller than the sum of its proper divisors (221235192).

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

102246408 is a wasteful number, since it uses less digits than its factorization.

102246408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1920 (or 1910 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 102246408 is about 10111.6965935495. The cubic root of 102246408 is about 467.6088118323.

Adding to 102246408 its reverse (804642201), we get a palindrome (906888609).

The spelling of 102246408 in words is "one hundred two million, two hundred forty-six thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 23 24 27 33 36 44 46 54 66 69 72 88 92 99 108 132 138 184 198 207 216 253 264 276 297 396 414 506 552 594 621 759 792 828 1012 1188 1242 1518 1656 1871 2024 2277 2376 2484 3036 3742 4554 4968 5613 6072 6831 7484 9108 11226 13662 14968 16839 18216 20581 22452 27324 33678 41162 43033 44904 50517 54648 61743 67356 82324 86066 101034 123486 129099 134712 164648 172132 185229 202068 246972 258198 344264 370458 387297 404136 473363 493944 516396 555687 740916 774594 946726 1032792 1111374 1161891 1420089 1481832 1549188 1893452 2222748 2323782 2840178 3098376 3786904 4260267 4445496 4647564 5680356 8520534 9295128 11360712 12780801 17041068 25561602 34082136 51123204 102246408