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20230800 = 2435223733
BaseRepresentation
bin100110100101…
…1001010010000
31102001211102220
41031023022100
520134341200
62001341040
7333646632
oct115131220
942054386
1020230800
1110468777
126937780
1342644b5
142988a52
151b994a0
hex134b290

20230800 has 120 divisors (see below), whose sum is σ = 67715904. Its totient is φ = 5153280.

The previous prime is 20230787. The next prime is 20230831. The reversal of 20230800 is 803202.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a self number, because there is not a number n which added to its sum of digits gives 20230800.

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, 27234 + ... + 27966.

Almost surely, 220230800 is an apocalyptic number.

20230800 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 20230800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33857952).

20230800 is an abundant number, since it is smaller than the sum of its proper divisors (47485104).

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

20230800 is a wasteful number, since it uses less digits than its factorization.

20230800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 20230800 is about 4497.8661607478. The cubic root of 20230800 is about 272.4819167082.

The spelling of 20230800 in words is "twenty million, two hundred thirty thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 25 30 40 46 48 50 60 69 75 80 92 100 115 120 138 150 184 200 230 240 276 300 345 368 400 460 552 575 600 690 733 920 1104 1150 1200 1380 1466 1725 1840 2199 2300 2760 2932 3450 3665 4398 4600 5520 5864 6900 7330 8796 9200 10995 11728 13800 14660 16859 17592 18325 21990 27600 29320 33718 35184 36650 43980 50577 54975 58640 67436 73300 84295 87960 101154 109950 134872 146600 168590 175920 202308 219900 252885 269744 293200 337180 404616 421475 439800 505770 674360 809232 842950 879600 1011540 1264425 1348720 1685900 2023080 2528850 3371800 4046160 5057700 6743600 10115400 20230800