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102187344 = 24372231889
BaseRepresentation
bin1100001011101…
…00000101010000
321010021122200110
412011310011100
5202124443334
614050121320
72350402200
oct605640520
9233248613
10102187344
1152755956
122a280240
131822b2ac
14d800400
158e87ae9
hex6174150

102187344 has 120 divisors (see below), whose sum is σ = 320604480. Its totient is φ = 27912192.

The previous prime is 102187343. The next prime is 102187363. The reversal of 102187344 is 443781201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102187343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53152 + ... + 55040.

It is an arithmetic number, because the mean of its divisors is an integer number (2671704).

Almost surely, 2102187344 is an apocalyptic number.

102187344 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 102187344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160302240).

102187344 is an abundant number, since it is smaller than the sum of its proper divisors (218417136).

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

102187344 is a wasteful number, since it uses less digits than its factorization.

102187344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1937 (or 1924 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 102187344 is about 10108.7755935128. The cubic root of 102187344 is about 467.5187543355.

The spelling of 102187344 in words is "one hundred two million, one hundred eighty-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 49 56 69 84 92 98 112 138 147 161 168 184 196 276 294 322 336 368 392 483 552 588 644 784 966 1104 1127 1176 1288 1889 1932 2254 2352 2576 3381 3778 3864 4508 5667 6762 7556 7728 9016 11334 13223 13524 15112 18032 22668 26446 27048 30224 39669 43447 45336 52892 54096 79338 86894 90672 92561 105784 130341 158676 173788 185122 211568 260682 277683 304129 317352 347576 370244 521364 555366 608258 634704 695152 740488 912387 1042728 1110732 1216516 1480976 1824774 2085456 2128903 2221464 2433032 3649548 4257806 4442928 4866064 6386709 7299096 8515612 12773418 14598192 17031224 25546836 34062448 51093672 102187344