Search a number
-
+
140119936 = 2711283109
BaseRepresentation
bin10000101101000…
…00111110000000
3100202122211102021
420112200332000
5241332314221
621523131224
73320666635
oct1026407600
9322584367
10140119936
1172104200
123ab13b14
132304cb08
141487618c
15c47c041
hex85a0f80

140119936 has 96 divisors (see below), whose sum is σ = 313374600. Its totient is φ = 62346240.

The previous prime is 140119921. The next prime is 140119937. The reversal of 140119936 is 639911041.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140119937) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1285450 + ... + 1285558.

Almost surely, 2140119936 is an apocalyptic number.

140119936 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 140119936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156687300).

140119936 is an abundant number, since it is smaller than the sum of its proper divisors (173254664).

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

140119936 is a wasteful number, since it uses less digits than its factorization.

140119936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 34.

The square root of 140119936 is about 11837.2267022306. The cubic root of 140119936 is about 519.3976457134.

The spelling of 140119936 in words is "one hundred forty million, one hundred nineteen thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 83 88 109 121 128 166 176 218 242 332 352 436 484 664 704 872 913 968 1199 1328 1408 1744 1826 1936 2398 2656 3488 3652 3872 4796 5312 6976 7304 7744 9047 9592 10043 10624 13189 13952 14608 15488 18094 19184 20086 26378 29216 36188 38368 40172 52756 58432 72376 76736 80344 99517 105512 116864 144752 153472 160688 199034 211024 289504 321376 398068 422048 579008 642752 796136 844096 1094687 1158016 1285504 1592272 1688192 2189374 3184544 4378748 6369088 8757496 12738176 17514992 35029984 70059968 140119936