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56021120 = 2751719271
BaseRepresentation
bin1101010110110…
…1000010000000
310220102011112022
43111231002000
5103320133440
65320421012
71250112611
oct325550200
9126364468
1056021120
1129693551
1216917768
13b7b5bbc
147623c08
154db8cb5
hex356d080

56021120 has 128 divisors (see below), whose sum is σ = 149817600. Its totient is φ = 19906560.

The previous prime is 56021111. The next prime is 56021143. The reversal of 56021120 is 2112065.

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 (17).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 206585 + ... + 206855.

It is an arithmetic number, because the mean of its divisors is an integer number (1170450).

Almost surely, 256021120 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 56021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74908800).

56021120 is an abundant number, since it is smaller than the sum of its proper divisors (93796480).

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

56021120 is a wasteful number, since it uses less digits than its factorization.

56021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 56021120 is about 7484.7257798800. The cubic root of 56021120 is about 382.6343270648.

Adding to 56021120 its reverse (2112065), we get a palindrome (58133185).

The spelling of 56021120 in words is "fifty-six million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 19 20 32 34 38 40 64 68 76 80 85 95 128 136 152 160 170 190 271 272 304 320 323 340 380 542 544 608 640 646 680 760 1084 1088 1216 1292 1355 1360 1520 1615 2168 2176 2432 2584 2710 2720 3040 3230 4336 4607 5149 5168 5420 5440 6080 6460 8672 9214 10298 10336 10840 10880 12160 12920 17344 18428 20596 20672 21680 23035 25745 25840 34688 36856 41192 41344 43360 46070 51490 51680 73712 82384 86720 87533 92140 102980 103360 147424 164768 173440 175066 184280 205960 206720 294848 329536 350132 368560 411920 437665 589696 659072 700264 737120 823840 875330 1400528 1474240 1647680 1750660 2801056 2948480 3295360 3501320 5602112 7002640 11204224 14005280 28010560 56021120