Search a number
-
+
140164992 = 2734111229
BaseRepresentation
bin10000101101010…
…11111110000000
3100202202010020000
420112223332000
5241340234432
621524120000
73321245202
oct1026537600
9322663200
10140164992
1172135040
123ab36000
1323067486
1414888772
15c48a57c
hex85abf80

140164992 has 160 divisors (see below), whose sum is σ = 455419800. Its totient is φ = 42439680.

The previous prime is 140164963. The next prime is 140165021. The reversal of 140164992 is 299461041.

It is a happy number.

140164992 is a `hidden beast` number, since 1 + 4 + 0 + 1 + 649 + 9 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (140164963) and next prime (140165021).

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 (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 113434 + ... + 114662.

Almost surely, 2140164992 is an apocalyptic number.

140164992 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 140164992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227709900).

140164992 is an abundant number, since it is smaller than the sum of its proper divisors (315254808).

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

140164992 is a wasteful number, since it uses less digits than its factorization.

140164992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 140164992 is about 11839.1296977438. The cubic root of 140164992 is about 519.4533110553.

The spelling of 140164992 in words is "one hundred forty million, one hundred sixty-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 81 88 96 99 108 128 132 144 162 176 192 198 216 264 288 297 324 352 384 396 432 528 576 594 648 704 792 864 891 1056 1152 1188 1229 1296 1408 1584 1728 1782 2112 2376 2458 2592 3168 3456 3564 3687 4224 4752 4916 5184 6336 7128 7374 9504 9832 10368 11061 12672 13519 14256 14748 19008 19664 22122 27038 28512 29496 33183 38016 39328 40557 44244 54076 57024 58992 66366 78656 81114 88488 99549 108152 114048 117984 121671 132732 157312 162228 176976 199098 216304 235968 243342 265464 324456 353952 365013 398196 432608 471936 486684 530928 648912 707904 730026 796392 865216 973368 1061856 1095039 1297824 1415808 1460052 1592784 1730432 1946736 2123712 2190078 2595648 2920104 3185568 3893472 4247424 4380156 5191296 5840208 6371136 7786944 8760312 11680416 12742272 15573888 17520624 23360832 35041248 46721664 70082496 140164992