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140416632 = 23336110657
BaseRepresentation
bin10000101111010…
…01011001111000
3100210012220102000
420113221121320
5241421313012
621533341000
73323343636
oct1027513170
9323186360
10140416632
1172297104
123b037760
1323124b85
1414912356
15c4d9ddc
hex85e9678

140416632 has 64 divisors (see below), whose sum is σ = 396477600. Its totient is φ = 46033920.

The previous prime is 140416621. The next prime is 140416649. The reversal of 140416632 is 236614041.

140416632 is a `hidden beast` number, since 14 + 0 + 4 + 16 + 632 = 666.

140416632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 140416596 and 140416605.

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, 7848 + ... + 18504.

Almost surely, 2140416632 is an apocalyptic number.

140416632 is a gapful number since it is divisible by the number (12) 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 140416632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198238800).

140416632 is an abundant number, since it is smaller than the sum of its proper divisors (256060968).

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

140416632 is a wasteful number, since it uses less digits than its factorization.

140416632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10733 (or 10723 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 140416632 is about 11849.7524024766. The cubic root of 140416632 is about 519.7639855976.

The spelling of 140416632 in words is "one hundred forty million, four hundred sixteen thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 61 72 108 122 183 216 244 366 488 549 732 1098 1464 1647 2196 3294 4392 6588 10657 13176 21314 31971 42628 63942 85256 95913 127884 191826 255768 287739 383652 575478 650077 767304 1150956 1300154 1950231 2301912 2600308 3900462 5200616 5850693 7800924 11701386 15601848 17552079 23402772 35104158 46805544 70208316 140416632