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55096960 = 2751923197
BaseRepresentation
bin1101001000101…
…1011010000000
310211200012211011
43102023122000
5103101100320
65244530304
71236213352
oct322133200
9124605734
1055096960
1129112186
1216550994
13b551369
1474630d2
154c8505a
hex348b680

55096960 has 128 divisors (see below), whose sum is σ = 145411200. Its totient is φ = 19869696.

The previous prime is 55096957. The next prime is 55096961. The reversal of 55096960 is 6969055.

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 (40).

It is not an unprimeable number, because it can be changed into a prime (55096961) 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, 279582 + ... + 279778.

It is an arithmetic number, because the mean of its divisors is an integer number (1136025).

Almost surely, 255096960 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 55096960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72705600).

55096960 is an abundant number, since it is smaller than the sum of its proper divisors (90314240).

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

55096960 is a wasteful number, since it uses less digits than its factorization.

55096960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 40.

The square root of 55096960 is about 7422.7326504462. The cubic root of 55096960 is about 380.5185901979.

The spelling of 55096960 in words is "fifty-five million, ninety-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 19 20 23 32 38 40 46 64 76 80 92 95 115 128 152 160 184 190 197 230 304 320 368 380 394 437 460 608 640 736 760 788 874 920 985 1216 1472 1520 1576 1748 1840 1970 2185 2432 2944 3040 3152 3496 3680 3743 3940 4370 4531 6080 6304 6992 7360 7486 7880 8740 9062 12160 12608 13984 14720 14972 15760 17480 18124 18715 22655 25216 27968 29944 31520 34960 36248 37430 45310 55936 59888 63040 69920 72496 74860 86089 90620 119776 126080 139840 144992 149720 172178 181240 239552 279680 289984 299440 344356 362480 430445 479104 579968 598880 688712 724960 860890 1197760 1377424 1449920 1721780 2395520 2754848 2899840 3443560 5509696 6887120 11019392 13774240 27548480 55096960