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102036240 = 2433597487
BaseRepresentation
bin1100001010011…
…11001100010000
321002222222102000
412011033030100
5202110124430
614042554000
72346202515
oct605171420
9232888360
10102036240
1152662379
122a208900
13181a7597
14d7a130c
158e57e60
hex614f310

102036240 has 160 divisors (see below), whose sum is σ = 355810560. Its totient is φ = 26873856.

The previous prime is 102036223. The next prime is 102036247. The reversal of 102036240 is 42630201.

It is a happy number.

It is a super-2 number, since 2×1020362402 = 20822788546675200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (102036247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 209277 + ... + 209763.

It is an arithmetic number, because the mean of its divisors is an integer number (2223816).

Almost surely, 2102036240 is an apocalyptic number.

102036240 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 102036240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177905280).

102036240 is an abundant number, since it is smaller than the sum of its proper divisors (253774320).

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

102036240 is a wasteful number, since it uses less digits than its factorization.

102036240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 102036240 is about 10101.2989263758. The cubic root of 102036240 is about 467.2882013138.

Adding to 102036240 its reverse (42630201), we get a palindrome (144666441).

The spelling of 102036240 in words is "one hundred two million, thirty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 97 108 120 135 144 180 194 216 240 270 291 360 388 432 485 487 540 582 720 776 873 970 974 1080 1164 1455 1461 1552 1746 1940 1948 2160 2328 2435 2619 2910 2922 3492 3880 3896 4365 4383 4656 4870 5238 5820 5844 6984 7305 7760 7792 8730 8766 9740 10476 11640 11688 13095 13149 13968 14610 17460 17532 19480 20952 21915 23280 23376 26190 26298 29220 34920 35064 38960 41904 43830 47239 52380 52596 58440 65745 69840 70128 87660 94478 104760 105192 116880 131490 141717 175320 188956 209520 210384 236195 262980 283434 350640 377912 425151 472390 525960 566868 708585 755824 850302 944780 1051920 1133736 1275453 1417170 1700604 1889560 2125755 2267472 2550906 2834340 3401208 3779120 4251510 5101812 5668680 6377265 6802416 8503020 10203624 11337360 12754530 17006040 20407248 25509060 34012080 51018120 102036240