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55941120 = 211325607
BaseRepresentation
bin1101010101100…
…1100000000000
310220021002210100
43111121200000
5103310103440
65315002400
71246330434
oct325314000
9126232710
1055941120
1129639434
1216899400
13b788671
1476029c4
154da0230
hex3559800

55941120 has 144 divisors (see below), whose sum is σ = 194201280. Its totient is φ = 14893056.

The previous prime is 55941079. The next prime is 55941131. The reversal of 55941120 is 2114955.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91857 + ... + 92463.

It is an arithmetic number, because the mean of its divisors is an integer number (1348620).

Almost surely, 255941120 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 55941120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97100640).

55941120 is an abundant number, since it is smaller than the sum of its proper divisors (138260160).

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

55941120 is a wasteful number, since it uses less digits than its factorization.

55941120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 55941120 is about 7479.3796534205. The cubic root of 55941120 is about 382.4521021659.

The spelling of 55941120 in words is "fifty-five million, nine hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 607 640 720 768 960 1024 1152 1214 1280 1440 1536 1821 1920 2048 2304 2428 2560 2880 3035 3072 3642 3840 4608 4856 5120 5463 5760 6070 6144 7284 7680 9105 9216 9712 10240 10926 11520 12140 14568 15360 18210 18432 19424 21852 23040 24280 27315 29136 30720 36420 38848 43704 46080 48560 54630 58272 72840 77696 87408 92160 97120 109260 116544 145680 155392 174816 194240 218520 233088 291360 310784 349632 388480 437040 466176 582720 621568 699264 776960 874080 932352 1165440 1243136 1398528 1553920 1748160 1864704 2330880 2797056 3107840 3496320 3729408 4661760 5594112 6215680 6992640 9323520 11188224 13985280 18647040 27970560 55941120