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55317120 = 273547613
BaseRepresentation
bin1101001100000…
…1001010000000
310212002101211020
43103001022000
5103130121440
65253345440
71241121255
oct323011200
9125071736
1055317120
1129252631
1216638280
13b5ca631
1474bd42c
154cca3d0
hex34c1280

55317120 has 128 divisors (see below), whose sum is σ = 180368640. Its totient is φ = 14413824.

The previous prime is 55317103. The next prime is 55317121. The reversal of 55317120 is 2171355.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (55317121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89934 + ... + 90546.

It is an arithmetic number, because the mean of its divisors is an integer number (1409130).

Almost surely, 255317120 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 55317120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90184320).

55317120 is an abundant number, since it is smaller than the sum of its proper divisors (125051520).

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

55317120 is a wasteful number, since it uses less digits than its factorization.

55317120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 24.

The square root of 55317120 is about 7437.5479830385. The cubic root of 55317120 is about 381.0247502194.

Adding to 55317120 its reverse (2171355), we get a palindrome (57488475).

The spelling of 55317120 in words is "fifty-five million, three hundred seventeen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 47 48 60 64 80 94 96 120 128 141 160 188 192 235 240 282 320 376 384 470 480 564 613 640 705 752 940 960 1128 1226 1410 1504 1839 1880 1920 2256 2452 2820 3008 3065 3678 3760 4512 4904 5640 6016 6130 7356 7520 9024 9195 9808 11280 12260 14712 15040 18048 18390 19616 22560 24520 28811 29424 30080 36780 39232 45120 49040 57622 58848 73560 78464 86433 90240 98080 115244 117696 144055 147120 172866 196160 230488 235392 288110 294240 345732 392320 432165 460976 576220 588480 691464 864330 921952 1152440 1176960 1382928 1728660 1843904 2304880 2765856 3457320 3687808 4609760 5531712 6914640 9219520 11063424 13829280 18439040 27658560 55317120