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56097120 = 2535196151
BaseRepresentation
bin1101010111111…
…1100101100000
310220120000210010
43111333211200
5103330101440
65322204520
71250550312
oct325774540
9126500703
1056097120
1129735662
1216953740
13b811681
1476437b2
154dd1580
hex357f960

56097120 has 96 divisors (see below), whose sum is σ = 186036480. Its totient is φ = 14169600.

The previous prime is 56097089. The next prime is 56097121. The reversal of 56097120 is 2179065.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56097121) 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, 6045 + ... + 12195.

It is an arithmetic number, because the mean of its divisors is an integer number (1937880).

Almost surely, 256097120 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 56097120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93018240).

56097120 is an abundant number, since it is smaller than the sum of its proper divisors (129939360).

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

56097120 is a wasteful number, since it uses less digits than its factorization.

56097120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6188 (or 6180 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 56097120 is about 7489.8010654489. The cubic root of 56097120 is about 382.8072801010.

The spelling of 56097120 in words is "fifty-six million, ninety-seven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 76 80 95 96 114 120 152 160 190 228 240 285 304 380 456 480 570 608 760 912 1140 1520 1824 2280 3040 4560 6151 9120 12302 18453 24604 30755 36906 49208 61510 73812 92265 98416 116869 123020 147624 184530 196832 233738 246040 295248 350607 369060 467476 492080 584345 590496 701214 738120 934952 984160 1168690 1402428 1476240 1753035 1869904 2337380 2804856 2952480 3506070 3739808 4674760 5609712 7012140 9349520 11219424 14024280 18699040 28048560 56097120