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140066816 = 21483103
BaseRepresentation
bin10000101100101…
…00000000000000
3100202120010112212
420112110000000
5241324114231
621522041252
73320356031
oct1026240000
9322503485
10140066816
11720782aa
123aaa9228
1323031896
1414860a88
15c46b42b
hex8594000

140066816 has 60 divisors (see below), whose sum is σ = 286252512. Its totient is φ = 68517888.

The previous prime is 140066809. The next prime is 140066821. The reversal of 140066816 is 618660041.

It is a happy number.

140066816 is digitally balanced in base 3, 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 (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1359821 + ... + 1359923.

Almost surely, 2140066816 is an apocalyptic number.

140066816 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 140066816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143126256).

140066816 is an abundant number, since it is smaller than the sum of its proper divisors (146185696).

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

140066816 is an frugal number, since it uses more digits than its factorization.

140066816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 140066816 is about 11834.9827207309. The cubic root of 140066816 is about 519.3320022106.

The spelling of 140066816 in words is "one hundred forty million, sixty-six thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 32 64 83 103 128 166 206 256 332 412 512 664 824 1024 1328 1648 2048 2656 3296 4096 5312 6592 8192 8549 10624 13184 16384 17098 21248 26368 34196 42496 52736 68392 84992 105472 136784 169984 210944 273568 339968 421888 547136 679936 843776 1094272 1359872 1687552 2188544 4377088 8754176 17508352 35016704 70033408 140066816