Search a number
-
+
153443640 = 23357296299
BaseRepresentation
bin10010010010101…
…01110100111000
3101200201202002210
421021111310320
5303240144030
623120455120
73542151360
oct1111256470
9350652083
10153443640
1179684529
124347a4a0
1325a3646c
14165439a0
15d70ebb0
hex9255d38

153443640 has 128 divisors (see below), whose sum is σ = 544320000. Its totient is φ = 33858048.

The previous prime is 153443623. The next prime is 153443657. The reversal of 153443640 is 46344351.

It is an interprime number because it is at equal distance from previous prime (153443623) and next prime (153443657).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 153443598 and 153443607.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21211 + ... + 27509.

It is an arithmetic number, because the mean of its divisors is an integer number (4252500).

Almost surely, 2153443640 is an apocalyptic number.

153443640 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 153443640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272160000).

153443640 is an abundant number, since it is smaller than the sum of its proper divisors (390876360).

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

153443640 is a wasteful number, since it uses less digits than its factorization.

153443640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6349 (or 6345 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 153443640 is about 12387.2369800533. The cubic root of 153443640 is about 535.3645752151.

Adding to 153443640 its reverse (46344351), we get a palindrome (199787991).

The spelling of 153443640 in words is "one hundred fifty-three million, four hundred forty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 29 30 35 40 42 56 58 60 70 84 87 105 116 120 140 145 168 174 203 210 232 280 290 348 406 420 435 580 609 696 812 840 870 1015 1160 1218 1624 1740 2030 2436 3045 3480 4060 4872 6090 6299 8120 12180 12598 18897 24360 25196 31495 37794 44093 50392 62990 75588 88186 94485 125980 132279 151176 176372 182671 188970 220465 251960 264558 352744 365342 377940 440930 529116 548013 661395 730684 755880 881860 913355 1058232 1096026 1278697 1322790 1461368 1763720 1826710 2192052 2557394 2645580 2740065 3653420 3836091 4384104 5114788 5291160 5480130 6393485 7306840 7672182 10229576 10960260 12786970 15344364 19180455 21920520 25573940 30688728 38360910 51147880 76721820 153443640