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55932120 = 2334561283
BaseRepresentation
bin1101010101011…
…1010011011000
310220020122110000
43111113103120
5103304311440
65314453000
71246262256
oct325272330
9126218400
1055932120
11296326a2
1216894160
13b78453a
1475dd5d6
154d9c730
hex35574d8

55932120 has 160 divisors (see below), whose sum is σ = 191751120. Its totient is φ = 14618880.

The previous prime is 55932073. The next prime is 55932127. The reversal of 55932120 is 2123955.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55932127) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 197499 + ... + 197781.

Almost surely, 255932120 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 55932120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95875560).

55932120 is an abundant number, since it is smaller than the sum of its proper divisors (135819000).

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

55932120 is a wasteful number, since it uses less digits than its factorization.

55932120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 55932120 is about 7478.7779750438. Note that the first 3 decimals coincide. The cubic root of 55932120 is about 382.4315909955.

The spelling of 55932120 in words is "fifty-five million, nine hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 61 72 81 90 108 120 122 135 162 180 183 216 244 270 283 305 324 360 366 405 488 540 549 566 610 648 732 810 849 915 1080 1098 1132 1220 1415 1464 1620 1647 1698 1830 2196 2264 2440 2547 2745 2830 3240 3294 3396 3660 4245 4392 4941 5094 5490 5660 6588 6792 7320 7641 8235 8490 9882 10188 10980 11320 12735 13176 15282 16470 16980 17263 19764 20376 21960 22923 24705 25470 30564 32940 33960 34526 38205 39528 45846 49410 50940 51789 61128 65880 69052 76410 86315 91692 98820 101880 103578 114615 138104 152820 155367 172630 183384 197640 207156 229230 258945 305640 310734 345260 414312 458460 466101 517890 621468 690520 776835 916920 932202 1035780 1242936 1398303 1553670 1864404 2071560 2330505 2796606 3107340 3728808 4661010 5593212 6214680 6991515 9322020 11186424 13983030 18644040 27966060 55932120