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120314656 = 25711223193
BaseRepresentation
bin1110010101111…
…01101100100000
322101101121200101
413022331230200
5221300032111
615534432144
72660441410
oct712755440
9271347611
10120314656
1161a07200
1234362654
131bc07207
1411d9c640
15a868bc1
hex72bdb20

120314656 has 144 divisors (see below), whose sum is σ = 312100992. Its totient is φ = 44605440.

The previous prime is 120314641. The next prime is 120314659. The reversal of 120314656 is 656413021.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120314659) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 623296 + ... + 623488.

It is an arithmetic number, because the mean of its divisors is an integer number (2167368).

Almost surely, 2120314656 is an apocalyptic number.

120314656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120314656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156050496).

120314656 is an abundant number, since it is smaller than the sum of its proper divisors (191786336).

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

120314656 is a wasteful number, since it uses less digits than its factorization.

120314656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 120314656 is about 10968.8037634010. The cubic root of 120314656 is about 493.6731543922.

Adding to 120314656 its reverse (656413021), we get a palindrome (776727677).

The spelling of 120314656 in words is "one hundred twenty million, three hundred fourteen thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 11 14 16 22 23 28 32 44 46 56 77 88 92 112 121 154 161 176 184 193 224 242 253 308 322 352 368 386 484 506 616 644 736 772 847 968 1012 1232 1288 1351 1544 1694 1771 1936 2024 2123 2464 2576 2702 2783 3088 3388 3542 3872 4048 4246 4439 5152 5404 5566 6176 6776 7084 8096 8492 8878 10808 11132 13552 14168 14861 16984 17756 19481 21616 22264 23353 27104 28336 29722 31073 33968 35512 38962 43232 44528 46706 48829 56672 59444 62146 67936 71024 77924 89056 93412 97658 118888 124292 142048 155848 163471 186824 195316 237776 248584 311696 326942 341803 373648 390632 475552 497168 537119 623392 653884 683606 747296 781264 994336 1074238 1307768 1367212 1562528 2148476 2615536 2734424 3759833 4296952 5231072 5468848 7519666 8593904 10937696 15039332 17187808 30078664 60157328 120314656