Search a number
-
+
153324300 = 223521937727
BaseRepresentation
bin10010010001110…
…00101100001100
3101200111200101210
421020320230030
5303222334200
623114134420
73541143423
oct1110705414
9350450353
10153324300
11796028a8
1243421410
13259c404c
14165122ba
15d6d9650
hex9238b0c

153324300 has 144 divisors (see below), whose sum is σ = 480247040. Its totient is φ = 37635840.

The previous prime is 153324299. The next prime is 153324317. The reversal of 153324300 is 3423351.

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 47 ways as a sum of consecutive naturals, for example, 210537 + ... + 211263.

Almost surely, 2153324300 is an apocalyptic number.

153324300 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 153324300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240123520).

153324300 is an abundant number, since it is smaller than the sum of its proper divisors (326922740).

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

153324300 is a wasteful number, since it uses less digits than its factorization.

153324300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 153324300 is about 12382.4189882268. The cubic root of 153324300 is about 535.2257468717.

Adding to 153324300 its reverse (3423351), we get a palindrome (156747651).

The spelling of 153324300 in words is "one hundred fifty-three million, three hundred twenty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 37 38 50 57 60 74 75 76 95 100 111 114 148 150 185 190 222 228 285 300 370 380 444 475 555 570 703 727 740 925 950 1110 1140 1406 1425 1454 1850 1900 2109 2181 2220 2775 2812 2850 2908 3515 3635 3700 4218 4362 5550 5700 7030 7270 8436 8724 10545 10905 11100 13813 14060 14540 17575 18175 21090 21810 26899 27626 35150 36350 41439 42180 43620 52725 53798 54525 55252 69065 70300 72700 80697 82878 105450 107596 109050 134495 138130 161394 165756 207195 210900 218100 268990 276260 322788 345325 403485 414390 511081 537980 672475 690650 806970 828780 1022162 1035975 1344950 1381300 1533243 1613940 2017425 2044324 2071950 2555405 2689900 3066486 4034850 4143900 5110810 6132972 7666215 8069700 10221620 12777025 15332430 25554050 30664860 38331075 51108100 76662150 153324300