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1216060140 = 2235234718749
BaseRepresentation
bin100100001111011…
…1001101011101100
310010202020020220110
41020132321223230
54442302411030
6320400220020
742064224561
oct11036715354
93122206813
101216060140
11574485a89
1229b30a610
13164c28519
14b7710868
1571b5e1b0
hex487b9aec

1216060140 has 96 divisors (see below), whose sum is σ = 3628800000. Its totient is φ = 303567616.

The previous prime is 1216060121. The next prime is 1216060159. The reversal of 1216060140 is 410606121.

It is an interprime number because it is at equal distance from previous prime (1216060121) and next prime (1216060159).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55486 + ... + 74234.

It is an arithmetic number, because the mean of its divisors is an integer number (37800000).

Almost surely, 21216060140 is an apocalyptic number.

1216060140 is a gapful number since it is divisible by the number (10) 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 1216060140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1814400000).

1216060140 is an abundant number, since it is smaller than the sum of its proper divisors (2412739860).

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

1216060140 is a wasteful number, since it uses less digits than its factorization.

1216060140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18831 (or 18829 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 1216060140 is about 34872.0538540534. The cubic root of 1216060140 is about 1067.3782554350.

Adding to 1216060140 its reverse (410606121), we get a palindrome (1626666261).

The spelling of 1216060140 in words is "one billion, two hundred sixteen million, sixty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 47 60 69 92 94 115 138 141 188 230 235 276 282 345 460 470 564 690 705 940 1081 1380 1410 2162 2820 3243 4324 5405 6486 10810 12972 16215 18749 21620 32430 37498 56247 64860 74996 93745 112494 187490 224988 281235 374980 431227 562470 862454 881203 1124940 1293681 1724908 1762406 2156135 2587362 2643609 3524812 4312270 4406015 5174724 5287218 6468405 8624540 8812030 10574436 12936810 13218045 17624060 20267669 25873620 26436090 40535338 52872180 60803007 81070676 101338345 121606014 202676690 243212028 304015035 405353380 608030070 1216060140