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140612416 = 2672979137
BaseRepresentation
bin10000110000110…
…01001101000000
3100210120211222021
420120121031000
5241444044131
621541451224
73325120510
oct1030311500
9323524867
10140612416
117241020a
123b110b14
1323193019
1414963840
15c527e11
hex8619340

140612416 has 112 divisors (see below), whose sum is σ = 336499200. Its totient is φ = 57028608.

The previous prime is 140612413. The next prime is 140612429. The reversal of 140612416 is 614216041.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140612413) 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, 1026300 + ... + 1026436.

Almost surely, 2140612416 is an apocalyptic number.

140612416 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 140612416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168249600).

140612416 is an abundant number, since it is smaller than the sum of its proper divisors (195886784).

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

140612416 is a wasteful number, since it uses less digits than its factorization.

140612416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 140612416 is about 11858.0106257331. The cubic root of 140612416 is about 520.0054437300.

Adding to 140612416 its reverse (614216041), we get a palindrome (754828457).

The spelling of 140612416 in words is "one hundred forty million, six hundred twelve thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 79 112 116 137 158 203 224 232 274 316 406 448 464 548 553 632 812 928 959 1096 1106 1264 1624 1856 1918 2192 2212 2291 2528 3248 3836 3973 4384 4424 4582 5056 6496 7672 7946 8768 8848 9164 10823 12992 15344 15892 16037 17696 18328 21646 27811 30688 31784 32074 35392 36656 43292 55622 61376 63568 64148 73312 75761 86584 111244 127136 128296 146624 151522 173168 222488 254272 256592 303044 313867 346336 444976 513184 606088 627734 692672 889952 1026368 1212176 1255468 1779904 2197069 2424352 2510936 4394138 4848704 5021872 8788276 10043744 17576552 20087488 35153104 70306208 140612416