Search a number
-
+
56712120 = 23353753241
BaseRepresentation
bin1101100001010…
…1101110111000
310221201021101220
43120111232320
5104004241440
65343312040
71256021313
oct330255670
9127637356
1056712120
112a015723
1216bab620
13b99858a
14776397a
154ea38d0
hex3615bb8

56712120 has 128 divisors (see below), whose sum is σ = 178770240. Its totient is φ = 14376960.

The previous prime is 56712053. The next prime is 56712121. The reversal of 56712120 is 2121765.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56712121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 235200 + ... + 235440.

Almost surely, 256712120 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 56712120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89385120).

56712120 is an abundant number, since it is smaller than the sum of its proper divisors (122058120).

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

56712120 is a wasteful number, since it uses less digits than its factorization.

56712120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 56712120 is about 7530.7449830677. The cubic root of 56712120 is about 384.2011207727.

Adding to 56712120 its reverse (2121765), we get a palindrome (58833885).

The spelling of 56712120 in words is "fifty-six million, seven hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 53 60 74 106 111 120 148 159 185 212 222 241 265 296 318 370 424 444 482 530 555 636 723 740 795 888 964 1060 1110 1205 1272 1446 1480 1590 1928 1961 2120 2220 2410 2892 3180 3615 3922 4440 4820 5784 5883 6360 7230 7844 8917 9640 9805 11766 12773 14460 15688 17834 19610 23532 25546 26751 28920 29415 35668 38319 39220 44585 47064 51092 53502 58830 63865 71336 76638 78440 89170 102184 107004 117660 127730 133755 153276 178340 191595 214008 235320 255460 267510 306552 356680 383190 472601 510920 535020 766380 945202 1070040 1417803 1532760 1890404 2363005 2835606 3780808 4726010 5671212 7089015 9452020 11342424 14178030 18904040 28356060 56712120