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102124140 = 223523431721
BaseRepresentation
bin1100001011001…
…00101001101100
321010011102222120
412011210221230
5202120433030
614044512540
72350020006
oct605445154
9233142876
10102124140
1152712418
122a24b750
13182085b1
14d7c5376
158e74010
hex6164a6c

102124140 has 96 divisors (see below), whose sum is σ = 305496576. Its totient is φ = 25428480.

The previous prime is 102124123. The next prime is 102124159. The reversal of 102124140 is 41421201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58480 + ... + 60200.

It is an arithmetic number, because the mean of its divisors is an integer number (3182256).

Almost surely, 2102124140 is an apocalyptic number.

102124140 is a gapful number since it is divisible by the number (10) 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 102124140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152748288).

102124140 is an abundant number, since it is smaller than the sum of its proper divisors (203372436).

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

102124140 is a wasteful number, since it uses less digits than its factorization.

102124140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1799 (or 1797 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 102124140 is about 10105.6489153344. The cubic root of 102124140 is about 467.4223459532.

Adding to 102124140 its reverse (41421201), we get a palindrome (143545341).

The spelling of 102124140 in words is "one hundred two million, one hundred twenty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 43 46 60 69 86 92 115 129 138 172 215 230 258 276 345 430 460 516 645 690 860 989 1290 1380 1721 1978 2580 2967 3442 3956 4945 5163 5934 6884 8605 9890 10326 11868 14835 17210 19780 20652 25815 29670 34420 39583 51630 59340 74003 79166 103260 118749 148006 158332 197915 222009 237498 296012 370015 395830 444018 474996 593745 740030 791660 888036 1110045 1187490 1480060 1702069 2220090 2374980 3404138 4440180 5106207 6808276 8510345 10212414 17020690 20424828 25531035 34041380 51062070 102124140