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55323360 = 25325103373
BaseRepresentation
bin1101001100001…
…0101011100000
310212002201101100
43103002223200
5103130321420
65253434400
71241145411
oct323025340
9125081340
1055323360
1129257294
121663ba00
13b600421
1474c1808
154ccc190
hex34c2ae0

55323360 has 144 divisors (see below), whose sum is σ = 191134944. Its totient is φ = 14570496.

The previous prime is 55323319. The next prime is 55323431. The reversal of 55323360 is 6332355.

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

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 148134 + ... + 148506.

It is an arithmetic number, because the mean of its divisors is an integer number (1327326).

Almost surely, 255323360 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 55323360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95567472).

55323360 is an abundant number, since it is smaller than the sum of its proper divisors (135811584).

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

55323360 is a wasteful number, since it uses less digits than its factorization.

55323360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 27.

The square root of 55323360 is about 7437.9674643010. The cubic root of 55323360 is about 381.0390767368.

The spelling of 55323360 in words is "fifty-five million, three hundred twenty-three thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 103 120 144 160 180 206 240 288 309 360 373 412 480 515 618 720 746 824 927 1030 1119 1236 1440 1492 1545 1648 1854 1865 2060 2238 2472 2984 3090 3296 3357 3708 3730 4120 4476 4635 4944 5595 5968 6180 6714 7416 7460 8240 8952 9270 9888 11190 11936 12360 13428 14832 14920 16480 16785 17904 18540 22380 24720 26856 29664 29840 33570 35808 37080 38419 44760 49440 53712 59680 67140 74160 76838 89520 107424 115257 134280 148320 153676 179040 192095 230514 268560 307352 345771 384190 461028 537120 576285 614704 691542 768380 922056 1152570 1229408 1383084 1536760 1728855 1844112 2305140 2766168 3073520 3457710 3688224 4610280 5532336 6147040 6915420 9220560 11064672 13830840 18441120 27661680 55323360