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51666120 = 23335114349
BaseRepresentation
bin1100010100010…
…1110011001000
310121012220121000
43011011303020
5101211303440
65043215000
71165104042
oct305056310
9117186530
1051666120
1127189580
1215377460
13a91c88c
146c0ca92
154808730
hex3145cc8

51666120 has 128 divisors (see below), whose sum is σ = 187920000. Its totient is φ = 12522240.

The previous prime is 51666103. The next prime is 51666137. The reversal of 51666120 is 2166615.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (51666103) and next prime (51666137).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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, 9706 + ... + 14054.

It is an arithmetic number, because the mean of its divisors is an integer number (1468125).

Almost surely, 251666120 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 51666120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93960000).

51666120 is an abundant number, since it is smaller than the sum of its proper divisors (136253880).

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

51666120 is a wasteful number, since it uses less digits than its factorization.

51666120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4380 (or 4370 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 51666120 is about 7187.9148575926. The cubic root of 51666120 is about 372.4505467132.

The spelling of 51666120 in words is "fifty-one million, six hundred sixty-six thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 33 36 40 44 45 54 55 60 66 72 88 90 99 108 110 120 132 135 165 180 198 216 220 264 270 297 330 360 396 440 495 540 594 660 792 990 1080 1188 1320 1485 1980 2376 2970 3960 4349 5940 8698 11880 13047 17396 21745 26094 34792 39141 43490 47839 52188 65235 78282 86980 95678 104376 117423 130470 143517 156564 173960 191356 195705 234846 239195 260940 287034 313128 382712 391410 430551 469692 478390 521880 574068 587115 717585 782820 861102 939384 956780 1148136 1174230 1291653 1435170 1565640 1722204 1913560 2152755 2348460 2583306 2870340 3444408 4305510 4696920 5166612 5740680 6458265 8611020 10333224 12916530 17222040 25833060 51666120