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139967984 = 241319107331
BaseRepresentation
bin10000101011110…
…11110111110000
3100202101002222102
420111323313300
5241312433414
621515555532
73316464632
oct1025736760
9322332872
10139967984
1172010022
123aa5bba8
1322cc88c0
1414836a52
15c44bede
hex857bdf0

139967984 has 80 divisors (see below), whose sum is σ = 311230080. Its totient is φ = 60445440.

The previous prime is 139967983. The next prime is 139968011. The reversal of 139967984 is 489769931.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (139967983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 422699 + ... + 423029.

It is an arithmetic number, because the mean of its divisors is an integer number (3890376).

Almost surely, 2139967984 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 139967984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155615040).

139967984 is an abundant number, since it is smaller than the sum of its proper divisors (171262096).

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

139967984 is a wasteful number, since it uses less digits than its factorization.

139967984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 472 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 56.

The square root of 139967984 is about 11830.8065659109. The cubic root of 139967984 is about 519.2098255267.

The spelling of 139967984 in words is "one hundred thirty-nine million, nine hundred sixty-seven thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 104 107 152 208 214 247 304 331 428 494 662 856 988 1324 1391 1712 1976 2033 2648 2782 3952 4066 4303 5296 5564 6289 8132 8606 11128 12578 16264 17212 22256 25156 26429 32528 34424 35417 50312 52858 68848 70834 81757 100624 105716 141668 163514 211432 283336 327028 422864 460421 566672 654056 672923 920842 1308112 1345846 1841684 2691692 3683368 5383384 7366736 8747999 10766768 17495998 34991996 69983992 139967984