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102411064 = 23719293319
BaseRepresentation
bin1100001101010…
…10101100111000
321010201000120101
412012222230320
5202204123224
614055005144
72352323350
oct606525470
9233630511
10102411064
1152898a48
122a3697b4
13182a9082
14d85bb60
158ece044
hex61aab38

102411064 has 64 divisors (see below), whose sum is σ = 239040000. Its totient is φ = 40134528.

The previous prime is 102411053. The next prime is 102411103. The reversal of 102411064 is 460114201.

It is a super-2 number, since 2×1024110642 = 20976052059224192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29197 + ... + 32515.

It is an arithmetic number, because the mean of its divisors is an integer number (3735000).

Almost surely, 2102411064 is an apocalyptic number.

102411064 is a gapful number since it is divisible by the number (14) 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 102411064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119520000).

102411064 is an abundant number, since it is smaller than the sum of its proper divisors (136628936).

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

102411064 is a wasteful number, since it uses less digits than its factorization.

102411064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3380 (or 3376 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 102411064 is about 10119.8351765234. The cubic root of 102411064 is about 467.8596871595.

Adding to 102411064 its reverse (460114201), we get a palindrome (562525265).

The spelling of 102411064 in words is "one hundred two million, four hundred eleven thousand, sixty-four".

Divisors: 1 2 4 7 8 14 19 28 29 38 56 58 76 116 133 152 203 232 266 406 532 551 812 1064 1102 1624 2204 3319 3857 4408 6638 7714 13276 15428 23233 26552 30856 46466 63061 92932 96251 126122 185864 192502 252244 385004 441427 504488 673757 770008 882854 1347514 1765708 1828769 2695028 3531416 3657538 5390056 7315076 12801383 14630152 25602766 51205532 102411064