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138984216 = 23372335969
BaseRepresentation
bin10000100100010…
…11101100011000
3100200112010111120
420102023230120
5241034443331
621442525240
73305226540
oct1022135430
9320463446
10138984216
11714a8998
123a666820
1322a42ba7
141465c320
15c305796
hex848bb18

138984216 has 64 divisors (see below), whose sum is σ = 414374400. Its totient is φ = 37982208.

The previous prime is 138984203. The next prime is 138984229. The reversal of 138984216 is 612489831.

It is an interprime number because it is at equal distance from previous prime (138984203) and next prime (138984229).

It is a super-2 number, since 2×1389842162 = 38633224594269312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14121 + ... + 21848.

It is an arithmetic number, because the mean of its divisors is an integer number (6474600).

Almost surely, 2138984216 is an apocalyptic number.

It is an amenable number.

138984216 is an abundant number, since it is smaller than the sum of its proper divisors (275390184).

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

138984216 is a wasteful number, since it uses less digits than its factorization.

138984216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36008 (or 36004 counting only the distinct ones).

The product of its digits is 82944, while the sum is 42.

The square root of 138984216 is about 11789.1567128442. The cubic root of 138984216 is about 517.9905386285.

The spelling of 138984216 in words is "one hundred thirty-eight million, nine hundred eighty-four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 84 92 138 161 168 184 276 322 483 552 644 966 1288 1932 3864 35969 71938 107907 143876 215814 251783 287752 431628 503566 755349 827287 863256 1007132 1510698 1654574 2014264 2481861 3021396 3309148 4963722 5791009 6042792 6618296 9927444 11582018 17373027 19854888 23164036 34746054 46328072 69492108 138984216