Search a number
-
+
140561406 = 2361753107
BaseRepresentation
bin10000110000011…
…00101111111110
3100210111021000000
420120030233332
5241440431111
621540415130
73324516006
oct1030145776
9323437000
10140561406
1172385957
123b0a74a6
1323175a3b
141494d006
15c517c56
hex860cbfe

140561406 has 112 divisors (see below), whose sum is σ = 344216304. Its totient is φ = 42861312.

The previous prime is 140561401. The next prime is 140561429. The reversal of 140561406 is 604165041.

140561406 is a `hidden beast` number, since 1 + 40 + 5 + 614 + 0 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 140561406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140561401) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1313605 + ... + 1313711.

Almost surely, 2140561406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140561406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172108152).

140561406 is an abundant number, since it is smaller than the sum of its proper divisors (203654898).

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

140561406 is a wasteful number, since it uses less digits than its factorization.

140561406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 140561406 is about 11855.8595639456. The cubic root of 140561406 is about 519.9425552914.

The spelling of 140561406 in words is "one hundred forty million, five hundred sixty-one thousand, four hundred six".

Divisors: 1 2 3 6 9 17 18 27 34 51 53 54 81 102 106 107 153 159 162 214 243 306 318 321 459 477 486 642 729 901 918 954 963 1377 1431 1458 1802 1819 1926 2703 2754 2862 2889 3638 4131 4293 5406 5457 5671 5778 8109 8262 8586 8667 10914 11342 12393 12879 16218 16371 17013 17334 24327 24786 25758 26001 32742 34026 38637 48654 49113 51039 52002 72981 77274 78003 96407 98226 102078 145962 147339 153117 156006 192814 218943 289221 294678 306234 437886 442017 459351 578442 656829 867663 884034 918702 1313658 1326051 1378053 1735326 2602989 2652102 2756106 4134159 5205978 7808967 8268318 15617934 23426901 46853802 70280703 140561406