Search a number
-
+
153541212 = 2231117531291
BaseRepresentation
bin10010010011011…
…01101001011100
3101200220200221120
421021231221130
5303301304322
623122530540
73543036006
oct1111555134
9350820846
10153541212
1179740870
1243506a50
1325a6b9b6
141656b376
15d72da5c
hex926da5c

153541212 has 96 divisors (see below), whose sum is σ = 421956864. Its totient is φ = 42931200.

The previous prime is 153541189. The next prime is 153541237. The reversal of 153541212 is 212145351.

It is a happy number.

153541212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118287 + ... + 119577.

It is an arithmetic number, because the mean of its divisors is an integer number (4395384).

Almost surely, 2153541212 is an apocalyptic number.

153541212 is a gapful number since it is divisible by the number (12) 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 153541212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210978432).

153541212 is an abundant number, since it is smaller than the sum of its proper divisors (268415652).

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

153541212 is a wasteful number, since it uses less digits than its factorization.

153541212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1379 (or 1377 counting only the distinct ones).

The product of its digits is 1200, while the sum is 24.

The square root of 153541212 is about 12391.1747627091. The cubic root of 153541212 is about 535.4780273468.

Adding to 153541212 its reverse (212145351), we get a palindrome (365686563).

The spelling of 153541212 in words is "one hundred fifty-three million, five hundred forty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 53 66 68 102 106 132 159 187 204 212 318 374 561 583 636 748 901 1122 1166 1291 1749 1802 2244 2332 2582 2703 3498 3604 3873 5164 5406 6996 7746 9911 10812 14201 15492 19822 21947 28402 29733 39644 42603 43894 56804 59466 65841 68423 85206 87788 118932 131682 136846 170412 205269 241417 263364 273692 410538 482834 724251 752653 821076 965668 1163191 1448502 1505306 2257959 2326382 2897004 3010612 3489573 4515918 4652764 6979146 9031836 12795101 13958292 25590202 38385303 51180404 76770606 153541212