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55021960 = 23573747113
BaseRepresentation
bin1101000111100…
…1000110001000
310211112101221101
43101321012020
5103041200320
65243151144
71235451610
oct321710610
9124471841
1055021960
11290708a4
12165154b4
13b526196
147443a40
154c6cc0a
hex3479188

55021960 has 128 divisors (see below), whose sum is σ = 149713920. Its totient is φ = 17805312.

The previous prime is 55021949. The next prime is 55021969. The reversal of 55021960 is 6912055.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (55021969) 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, 486864 + ... + 486976.

It is an arithmetic number, because the mean of its divisors is an integer number (1169640).

Almost surely, 255021960 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 55021960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74856960).

55021960 is an abundant number, since it is smaller than the sum of its proper divisors (94691960).

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

55021960 is a wasteful number, since it uses less digits than its factorization.

55021960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 28.

The square root of 55021960 is about 7417.6788822380. The cubic root of 55021960 is about 380.3458531814.

The spelling of 55021960 in words is "fifty-five million, twenty-one thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 37 40 47 56 70 74 94 113 140 148 185 188 226 235 259 280 296 329 370 376 452 470 518 565 658 740 791 904 940 1036 1130 1295 1316 1480 1582 1645 1739 1880 2072 2260 2590 2632 3164 3290 3478 3955 4181 4520 5180 5311 6328 6580 6956 7910 8362 8695 10360 10622 12173 13160 13912 15820 16724 17390 20905 21244 24346 26555 29267 31640 33448 34780 37177 41810 42488 48692 53110 58534 60865 69560 74354 83620 97384 106220 117068 121730 146335 148708 167240 185885 196507 212440 234136 243460 292670 297416 371770 393014 486920 585340 743540 786028 982535 1170680 1375549 1487080 1572056 1965070 2751098 3930140 5502196 6877745 7860280 11004392 13755490 27510980 55021960