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140182992 = 24323121013
BaseRepresentation
bin10000101101100…
…00010111010000
3100202210000220200
420112300113100
5241341323432
621524335200
73321351525
oct1026602720
9322700820
10140182992
1172147614
123ab44500
1323072721
141489114c
15c490a7c
hex85b05d0

140182992 has 90 divisors (see below), whose sum is σ = 405781506. Its totient is φ = 45175680.

The previous prime is 140182957. The next prime is 140183009. The reversal of 140182992 is 299281041.

It can be written as a sum of positive squares in only one way, i.e., 73205136 + 66977856 = 8556^2 + 8184^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 137878 + ... + 138890.

Almost surely, 2140182992 is an apocalyptic number.

140182992 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 140182992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202890753).

140182992 is an abundant number, since it is smaller than the sum of its proper divisors (265598514).

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

140182992 is a wasteful number, since it uses less digits than its factorization.

140182992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 140182992 is about 11839.8898643526. The cubic root of 140182992 is about 519.4755461827.

The spelling of 140182992 in words is "one hundred forty million, one hundred eighty-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 961 1013 1116 1488 1922 2026 2232 2883 3039 3844 4052 4464 5766 6078 7688 8104 8649 9117 11532 12156 15376 16208 17298 18234 23064 24312 31403 34596 36468 46128 48624 62806 69192 72936 94209 125612 138384 145872 188418 251224 282627 376836 502448 565254 753672 973493 1130508 1507344 1946986 2261016 2920479 3893972 4522032 5840958 7787944 8761437 11681916 15575888 17522874 23363832 35045748 46727664 70091496 140182992