Search a number
-
+
141107640 = 23353761521
BaseRepresentation
bin10000110100100…
…10000110111000
3100211112000021220
420122102012320
5242110421030
622000232040
73332252352
oct1032220670
9324460256
10141107640
1172719293
123b30b620
132330755b
1414a520d2
15c5c4a10
hex86921b8

141107640 has 128 divisors (see below), whose sum is σ = 442739520. Its totient is φ = 35942400.

The previous prime is 141107611. The next prime is 141107647. The reversal of 141107640 is 46701141.

It is a super-2 number, since 2×1411076402 = 39822732132739200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 141107640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141107647) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 270580 + ... + 271100.

Almost surely, 2141107640 is an apocalyptic number.

141107640 is a gapful number since it is divisible by the number (10) 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 141107640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221369760).

141107640 is an abundant number, since it is smaller than the sum of its proper divisors (301631880).

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

141107640 is a wasteful number, since it uses less digits than its factorization.

141107640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 141107640 is about 11878.8736839820. The cubic root of 141107640 is about 520.6151989083.

Adding to 141107640 its reverse (46701141), we get a palindrome (187808781).

The spelling of 141107640 in words is "one hundred forty-one million, one hundred seven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 61 74 111 120 122 148 183 185 222 244 296 305 366 370 444 488 521 555 610 732 740 888 915 1042 1110 1220 1464 1480 1563 1830 2084 2220 2257 2440 2605 3126 3660 4168 4440 4514 5210 6252 6771 7320 7815 9028 10420 11285 12504 13542 15630 18056 19277 20840 22570 27084 31260 31781 33855 38554 45140 54168 57831 62520 63562 67710 77108 90280 95343 96385 115662 127124 135420 154216 158905 190686 192770 231324 254248 270840 289155 317810 381372 385540 462648 476715 578310 635620 762744 771080 953430 1156620 1175897 1271240 1906860 2313240 2351794 3527691 3813720 4703588 5879485 7055382 9407176 11758970 14110764 17638455 23517940 28221528 35276910 47035880 70553820 141107640