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108252120 = 23351979601
BaseRepresentation
bin1100111001111…
…00101111011000
321112200202222210
412130330233120
5210203031440
614424115120
72453061564
oct634745730
9245622883
10108252120
1156118469
1230305aa0
1319572912
141053c6a4
159784a80
hex673cbd8

108252120 has 128 divisors (see below), whose sum is σ = 346752000. Its totient is φ = 26956800.

The previous prime is 108252119. The next prime is 108252127. The reversal of 108252120 is 21252801.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108252127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179820 + ... + 180420.

It is an arithmetic number, because the mean of its divisors is an integer number (2709000).

Almost surely, 2108252120 is an apocalyptic number.

108252120 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 108252120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173376000).

108252120 is an abundant number, since it is smaller than the sum of its proper divisors (238499880).

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

108252120 is a wasteful number, since it uses less digits than its factorization.

108252120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 108252120 is about 10404.4279035418. The cubic root of 108252120 is about 476.5905975622.

The spelling of 108252120 in words is "one hundred eight million, two hundred fifty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 79 95 114 120 152 158 190 228 237 285 316 380 395 456 474 570 601 632 760 790 948 1140 1185 1202 1501 1580 1803 1896 2280 2370 2404 3002 3005 3160 3606 4503 4740 4808 6004 6010 7212 7505 9006 9015 9480 11419 12008 12020 14424 15010 18012 18030 22515 22838 24040 30020 34257 36024 36060 45030 45676 47479 57095 60040 68514 72120 90060 91352 94958 114190 137028 142437 171285 180120 189916 228380 237395 274056 284874 342570 379832 456760 474790 569748 685140 712185 902101 949580 1139496 1370280 1424370 1804202 1899160 2706303 2848740 3608404 4510505 5412606 5697480 7216808 9021010 10825212 13531515 18042020 21650424 27063030 36084040 54126060 108252120