Search a number
-
+
153245040 = 24351349117
BaseRepresentation
bin10010010001001…
…01010101110000
3101200100122200020
421020211111300
5303212320130
623112323440
73540363354
oct1110452560
9350318606
10153245040
11795592a3
12433a3580
1325996c50
14164d1464
15d6c0e10
hex9225570

153245040 has 80 divisors (see below), whose sum is σ = 511613088. Its totient is φ = 37721088.

The previous prime is 153245011. The next prime is 153245087. The reversal of 153245040 is 40542351.

It is a tau number, because it is divible by the number of its divisors (80).

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 153245040.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 21439 + ... + 27678.

Almost surely, 2153245040 is an apocalyptic number.

153245040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153245040 is an abundant number, since it is smaller than the sum of its proper divisors (358368048).

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

153245040 is a wasteful number, since it uses less digits than its factorization.

153245040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49146 (or 49140 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 153245040 is about 12379.2180690058. The cubic root of 153245040 is about 535.1335038184.

Adding to 153245040 its reverse (40542351), we get a palindrome (193787391).

The spelling of 153245040 in words is "one hundred fifty-three million, two hundred forty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 49117 98234 147351 196468 245585 294702 392936 491170 589404 638521 736755 785872 982340 1178808 1277042 1473510 1915563 1964680 2357616 2554084 2947020 3192605 3831126 3929360 5108168 5894040 6385210 7662252 9577815 10216336 11788080 12770420 15324504 19155630 25540840 30649008 38311260 51081680 76622520 153245040