Search a number
-
+
153441036 = 223271973439
BaseRepresentation
bin10010010010101…
…01001100001100
3101200201121112100
421021111030030
5303240103121
623120435100
73542140650
oct1111251414
9350647470
10153441036
1179682581
1243478a90
1325a35218
1416542a60
15d70e026
hex925530c

153441036 has 144 divisors (see below), whose sum is σ = 474073600. Its totient is φ = 40870656.

The previous prime is 153441007. The next prime is 153441037. The reversal of 153441036 is 630144351.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153441037) 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 47 ways as a sum of consecutive naturals, for example, 349305 + ... + 349743.

Almost surely, 2153441036 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 153441036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237036800).

153441036 is an abundant number, since it is smaller than the sum of its proper divisors (320632564).

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

153441036 is a wasteful number, since it uses less digits than its factorization.

153441036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 543 counting only the distinct ones).

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

The square root of 153441036 is about 12387.1318714221. The cubic root of 153441036 is about 535.3615467476.

Adding to 153441036 its reverse (630144351), we get a palindrome (783585387).

The spelling of 153441036 in words is "one hundred fifty-three million, four hundred forty-one thousand, thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 73 76 84 114 126 133 146 171 219 228 252 266 292 342 399 438 439 511 532 657 684 798 876 878 1022 1197 1314 1317 1387 1533 1596 1756 2044 2394 2628 2634 2774 3066 3073 3951 4161 4599 4788 5268 5548 6132 6146 7902 8322 8341 9198 9219 9709 12292 12483 15804 16644 16682 18396 18438 19418 24966 25023 27657 29127 32047 33364 36876 38836 49932 50046 55314 58254 58387 64094 75069 87381 96141 100092 110628 116508 116774 128188 150138 174762 175161 192282 224329 233548 288423 300276 349524 350322 384564 448658 525483 576846 608893 672987 700644 897316 1050966 1153692 1217786 1345974 1826679 2018961 2101932 2435572 2691948 3653358 4037922 4262251 5480037 7306716 8075844 8524502 10960074 12786753 17049004 21920148 25573506 38360259 51147012 76720518 153441036