Search a number
-
+
43145136 = 2439137
BaseRepresentation
bin1010010010010…
…1011110110000
310000012000000000
42210211132300
542021121021
64140430000
71032504366
oct244453660
9100160000
1043145136
1122399641
1212548300
138c28288
145a31636
153bc3b26
hex29257b0

43145136 has 100 divisors (see below), whose sum is σ = 126303672. Its totient is φ = 14276736.

The previous prime is 43145131. The next prime is 43145147. The reversal of 43145136 is 63154134.

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

It is not an unprimeable number, because it can be changed into a prime (43145131) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 314860 + ... + 314996.

Almost surely, 243145136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43145136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63151836).

43145136 is an abundant number, since it is smaller than the sum of its proper divisors (83158536).

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

43145136 is an frugal number, since it uses more digits than its factorization.

43145136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 142 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 43145136 is about 6568.4957181991. The cubic root of 43145136 is about 350.7335255581.

The spelling of 43145136 in words is "forty-three million, one hundred forty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 137 144 162 216 243 274 324 411 432 486 548 648 729 822 972 1096 1233 1296 1458 1644 1944 2187 2192 2466 2916 3288 3699 3888 4374 4932 5832 6561 6576 7398 8748 9864 11097 11664 13122 14796 17496 19683 19728 22194 26244 29592 33291 34992 39366 44388 52488 59184 66582 78732 88776 99873 104976 133164 157464 177552 199746 266328 299619 314928 399492 532656 599238 798984 898857 1198476 1597968 1797714 2396952 2696571 3595428 4793904 5393142 7190856 10786284 14381712 21572568 43145136