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1240977864 = 233731239997
BaseRepresentation
bin100100111110111…
…1101000111001000
310012111010012121010
41021331331013020
510020142242424
6323050243520
742516065160
oct11175750710
93174105533
101240977864
11587555045
122a77265a0
1316a141139
14bab595a0
1573e32229
hex49f7d1c8

1240977864 has 128 divisors (see below), whose sum is σ = 3679027200. Its totient is φ = 341349120.

The previous prime is 1240977863. The next prime is 1240977919. The reversal of 1240977864 is 4687790421.

It is not an unprimeable number, because it can be changed into a prime (1240977863) by changing a digit.

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, 1244214 + ... + 1245210.

It is an arithmetic number, because the mean of its divisors is an integer number (28742400).

Almost surely, 21240977864 is an apocalyptic number.

1240977864 is a gapful number since it is divisible by the number (14) 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 1240977864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1839513600).

1240977864 is an abundant number, since it is smaller than the sum of its proper divisors (2438049336).

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

1240977864 is a wasteful number, since it uses less digits than its factorization.

1240977864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1283 (or 1279 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The square root of 1240977864 is about 35227.5157227983. The cubic root of 1240977864 is about 1074.6194041907.

The spelling of 1240977864 in words is "one billion, two hundred forty million, nine hundred seventy-seven thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 239 248 372 434 478 651 717 744 868 956 997 1302 1434 1673 1736 1912 1994 2604 2868 2991 3346 3988 5019 5208 5736 5982 6692 6979 7409 7976 10038 11964 13384 13958 14818 20076 20937 22227 23928 27916 29636 30907 40152 41874 44454 51863 55832 59272 61814 83748 88908 92721 103726 123628 155589 167496 177816 185442 207452 216349 238283 247256 311178 370884 414904 432698 476566 622356 649047 714849 741768 865396 953132 1244712 1298094 1429698 1667981 1730792 1906264 2596188 2859396 3335962 5003943 5192376 5718792 6671924 7386773 10007886 13343848 14773546 20015772 22160319 29547092 40031544 44320638 51707411 59094184 88641276 103414822 155122233 177282552 206829644 310244466 413659288 620488932 1240977864