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140145216 = 2631941937
BaseRepresentation
bin10000101101001…
…11001001000000
3100202201010002120
420112213021000
5241334121331
621523444240
73321133431
oct1026471100
9322633076
10140145216
11721211a2
123ab26680
132305b483
1414881488
15c484796
hex85a7240

140145216 has 112 divisors (see below), whose sum is σ = 400263360. Its totient is φ = 43130880.

The previous prime is 140145191. The next prime is 140145217. The reversal of 140145216 is 612541041.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (140145217) 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, 149100 + ... + 150036.

It is an arithmetic number, because the mean of its divisors is an integer number (3573780).

Almost surely, 2140145216 is an apocalyptic number.

140145216 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 140145216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200131680).

140145216 is an abundant number, since it is smaller than the sum of its proper divisors (260118144).

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

140145216 is a wasteful number, since it uses less digits than its factorization.

140145216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 140145216 is about 11838.2944717556. The cubic root of 140145216 is about 519.4288798672.

Adding to 140145216 its reverse (612541041), we get a palindrome (752686257).

The spelling of 140145216 in words is "one hundred forty million, one hundred forty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 41 48 57 64 76 82 96 114 123 152 164 192 228 246 304 328 456 492 608 656 779 912 937 984 1216 1312 1558 1824 1874 1968 2337 2624 2811 3116 3648 3748 3936 4674 5622 6232 7496 7872 9348 11244 12464 14992 17803 18696 22488 24928 29984 35606 37392 38417 44976 49856 53409 59968 71212 74784 76834 89952 106818 115251 142424 149568 153668 179904 213636 230502 284848 307336 427272 461004 569696 614672 729923 854544 922008 1139392 1229344 1459846 1709088 1844016 2189769 2458688 2919692 3418176 3688032 4379538 5839384 7376064 8759076 11678768 17518152 23357536 35036304 46715072 70072608 140145216