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140241216 = 2632989283
BaseRepresentation
bin10000101101111…
…10100101000000
3100202212222210010
420112332211000
5241400204331
621525504520
73322013343
oct1026764500
9322788703
10140241216
1172187335
123ab72140
132309308b
14148a845a
15c4a2e46
hex85be940

140241216 has 112 divisors (see below), whose sum is σ = 389534400. Its totient is φ = 44470272.

The previous prime is 140241209. The next prime is 140241221. The reversal of 140241216 is 612142041.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 140241192 and 140241201.

It is a congruent number.

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, 495411 + ... + 495693.

Almost surely, 2140241216 is an apocalyptic number.

140241216 is a gapful number since it is divisible by the number (16) 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 140241216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194767200).

140241216 is an abundant number, since it is smaller than the sum of its proper divisors (249293184).

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

140241216 is a wasteful number, since it uses less digits than its factorization.

140241216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 140241216 is about 11842.3484157493. The cubic root of 140241216 is about 519.5474563749.

Adding to 140241216 its reverse (612142041), we get a palindrome (752383257).

The spelling of 140241216 in words is "one hundred forty million, two hundred forty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 89 96 116 174 178 192 232 267 283 348 356 464 534 566 696 712 849 928 1068 1132 1392 1424 1698 1856 2136 2264 2581 2784 2848 3396 4272 4528 5162 5568 5696 6792 7743 8207 8544 9056 10324 13584 15486 16414 17088 18112 20648 24621 25187 27168 30972 32828 41296 49242 50374 54336 61944 65656 75561 82592 98484 100748 123888 131312 151122 165184 196968 201496 247776 262624 302244 393936 402992 495552 525248 604488 730423 787872 805984 1208976 1460846 1575744 1611968 2191269 2417952 2921692 4382538 4835904 5843384 8765076 11686768 17530152 23373536 35060304 46747072 70120608 140241216