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140164416 = 2632734763
BaseRepresentation
bin10000101101010…
…11110101000000
3100202202002102200
420112223311000
5241340230131
621524113200
73321243420
oct1026536500
9322662380
10140164416
1172134667
123ab35800
1323067132
1414888480
15c48a2e6
hex85abd40

140164416 has 84 divisors (see below), whose sum is σ = 459162912. Its totient is φ = 40045824.

The previous prime is 140164379. The next prime is 140164417. The reversal of 140164416 is 614461041.

140164416 is a `hidden beast` number, since 1 + 4 + 0 + 1 + 644 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

It is a self number, because there is not a number n which added to its sum of digits gives 140164416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140164417) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13350 + ... + 21413.

Almost surely, 2140164416 is an apocalyptic number.

140164416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

140164416 is an abundant number, since it is smaller than the sum of its proper divisors (318998496).

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

140164416 is a wasteful number, since it uses less digits than its factorization.

140164416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34788 (or 34775 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 140164416 is about 11839.1053716064. The cubic root of 140164416 is about 519.4525994998.

The spelling of 140164416 in words is "one hundred forty million, one hundred sixty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 34763 69526 104289 139052 208578 243341 278104 312867 417156 486682 556208 625734 730023 834312 973364 1112416 1251468 1460046 1668624 1946728 2190069 2224832 2502936 2920092 3337248 3893456 4380138 5005872 5840184 6674496 7786912 8760276 10011744 11680368 15573824 17520552 20023488 23360736 35041104 46721472 70082208 140164416