Search a number
-
+
2433900 = 2235271961
BaseRepresentation
bin1001010010001101101100
311120122200110
421102031230
51110341100
6124100020
726454630
oct11221554
94518613
102433900
111412697
12994610
13672aa1
14474dc0
15331250
hex25236c

2433900 has 144 divisors (see below), whose sum is σ = 8610560. Its totient is φ = 518400.

The previous prime is 2433889. The next prime is 2433901. The reversal of 2433900 is 93342.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (2433901) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39870 + ... + 39930.

22433900 is an apocalyptic number.

2433900 is a gapful number since it is divisible by the number (20) 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 2433900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4305280).

2433900 is an abundant number, since it is smaller than the sum of its proper divisors (6176660).

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

2433900 is a wasteful number, since it uses less digits than its factorization.

2433900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 2433900 is about 1560.0961508830. The cubic root of 2433900 is about 134.5140277331.

It can be divided in two parts, 2433 and 900, that added together give a palindrome (3333).

The spelling of 2433900 in words is "two million, four hundred thirty-three thousand, nine hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 19 20 21 25 28 30 35 38 42 50 57 60 61 70 75 76 84 95 100 105 114 122 133 140 150 175 183 190 210 228 244 266 285 300 305 350 366 380 399 420 427 475 525 532 570 610 665 700 732 798 854 915 950 1050 1140 1159 1220 1281 1330 1425 1525 1596 1708 1830 1900 1995 2100 2135 2318 2562 2660 2850 3050 3325 3477 3660 3990 4270 4575 4636 5124 5700 5795 6100 6405 6650 6954 7980 8113 8540 9150 9975 10675 11590 12810 13300 13908 16226 17385 18300 19950 21350 23180 24339 25620 28975 32025 32452 34770 39900 40565 42700 48678 57950 64050 69540 81130 86925 97356 115900 121695 128100 162260 173850 202825 243390 347700 405650 486780 608475 811300 1216950 2433900