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102314432 = 26111783103
BaseRepresentation
bin1100001100100…
…11000111000000
321010112010000102
412012103013000
5202143030212
614052541532
72351441543
oct606230700
9233463012
10102314432
1152832390
122a3218a8
13182740ac
14d83485a
158eb05c2
hex61931c0

102314432 has 112 divisors (see below), whose sum is σ = 239645952. Its totient is φ = 42823680.

The previous prime is 102314423. The next prime is 102314447. The reversal of 102314432 is 234413201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 993293 + ... + 993395.

It is an arithmetic number, because the mean of its divisors is an integer number (2139696).

Almost surely, 2102314432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102314432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119822976).

102314432 is an abundant number, since it is smaller than the sum of its proper divisors (137331520).

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

102314432 is a wasteful number, since it uses less digits than its factorization.

102314432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 102314432 is about 10115.0596636896. The cubic root of 102314432 is about 467.7124880755.

Adding to 102314432 its reverse (234413201), we get a palindrome (336727633).

The spelling of 102314432 in words is "one hundred two million, three hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 83 88 103 136 166 176 187 206 272 332 352 374 412 544 664 704 748 824 913 1088 1133 1328 1411 1496 1648 1751 1826 2266 2656 2822 2992 3296 3502 3652 4532 5312 5644 5984 6592 7004 7304 8549 9064 11288 11968 14008 14608 15521 17098 18128 19261 22576 28016 29216 31042 34196 36256 38522 45152 56032 58432 62084 68392 72512 77044 90304 94039 112064 124168 136784 145333 154088 188078 248336 273568 290666 308176 376156 496672 547136 581332 616352 752312 993344 1162664 1232704 1504624 1598663 2325328 3009248 3197326 4650656 6018496 6394652 9301312 12789304 25578608 51157216 102314432