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1420202112 = 27371513499
BaseRepresentation
bin101010010100110…
…1001000010000000
310122222100202001020
41110221221002000
510402032431422
6352531505440
750123342640
oct12451510200
93588322036
101420202112
1166973795a
12337758280
13198302ba4
14d6890520
1584a3595c
hex54a69080

1420202112 has 128 divisors (see below), whose sum is σ = 4341120000. Its totient is φ = 402969600.

The previous prime is 1420202089. The next prime is 1420202141. The reversal of 1420202112 is 2112020241.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 1420202091 and 1420202100.

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, 404139 + ... + 407637.

It is an arithmetic number, because the mean of its divisors is an integer number (33915000).

Almost surely, 21420202112 is an apocalyptic number.

1420202112 is a gapful number since it is divisible by the number (12) 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 1420202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2170560000).

1420202112 is an abundant number, since it is smaller than the sum of its proper divisors (2920917888).

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

1420202112 is a wasteful number, since it uses less digits than its factorization.

1420202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3674 (or 3662 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1420202112 is about 37685.5690152079. The cubic root of 1420202112 is about 1124.0441888547.

Adding to 1420202112 its reverse (2112020241), we get a palindrome (3532222353).

The spelling of 1420202112 in words is "one billion, four hundred twenty million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 151 168 192 224 302 336 384 448 453 604 672 896 906 1057 1208 1344 1812 2114 2416 2688 3171 3499 3624 4228 4832 6342 6998 7248 8456 9664 10497 12684 13996 14496 16912 19328 20994 24493 25368 27992 28992 33824 41988 48986 50736 55984 57984 67648 73479 83976 97972 101472 111968 135296 146958 167952 195944 202944 223936 293916 335904 391888 405888 447872 528349 587832 671808 783776 1056698 1175664 1343616 1567552 1585047 2113396 2351328 3135104 3170094 3698443 4226792 4702656 6340188 7396886 8453584 9405312 11095329 12680376 14793772 16907168 22190658 25360752 29587544 33814336 44381316 50721504 59175088 67628672 88762632 101443008 118350176 177525264 202886016 236700352 355050528 473400704 710101056 1420202112