Search a number
-
+
20230440 = 2335192467
BaseRepresentation
bin100110100101…
…1000100101000
31102001210221120
41031023010220
520134333230
62001335240
7333645606
oct115130450
942053846
1020230440
111046847a
126937520
134264299
142988876
151b99310
hex134b128

20230440 has 96 divisors (see below), whose sum is σ = 64190880. Its totient is φ = 5099904.

The previous prime is 20230439. The next prime is 20230489. The reversal of 20230440 is 4403202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43087 + ... + 43553.

It is an arithmetic number, because the mean of its divisors is an integer number (668655).

Almost surely, 220230440 is an apocalyptic number.

20230440 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 20230440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32095440).

20230440 is an abundant number, since it is smaller than the sum of its proper divisors (43960440).

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

20230440 is a wasteful number, since it uses less digits than its factorization.

20230440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 20230440 is about 4497.8261415933. The cubic root of 20230440 is about 272.4803004585.

Adding to 20230440 its reverse (4403202), we get a palindrome (24633642).

The spelling of 20230440 in words is "twenty million, two hundred thirty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 361 380 456 467 570 722 760 934 1083 1140 1401 1444 1805 1868 2166 2280 2335 2802 2888 3610 3736 4332 4670 5415 5604 7005 7220 8664 8873 9340 10830 11208 14010 14440 17746 18680 21660 26619 28020 35492 43320 44365 53238 56040 70984 88730 106476 133095 168587 177460 212952 266190 337174 354920 505761 532380 674348 842935 1011522 1064760 1348696 1685870 2023044 2528805 3371740 4046088 5057610 6743480 10115220 20230440