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20230024080 = 24357103311657
BaseRepresentation
bin10010110101110011…
…011010101110010000
31221012212100200222010
4102311303122232100
5312412341232310
613143223342520
71314214240020
oct226563325620
957185320863
1020230024080
118641359572
123b06bb1a40
131ba5244b66
14d9ca81a80
157d6056320
hex4b5cdab90

20230024080 has 160 divisors (see below), whose sum is σ = 71747622144. Its totient is φ = 4619132928.

The previous prime is 20230024069. The next prime is 20230024081. The reversal of 20230024080 is 8042003202.

It is a super-4 number, since 4×202300240804 (a number of 42 digits) contains 4444 as substring.

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 (20230024081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1729612 + ... + 1741268.

Almost surely, 220230024080 is an apocalyptic number.

20230024080 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 20230024080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35873811072).

20230024080 is an abundant number, since it is smaller than the sum of its proper divisors (51517598064).

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

20230024080 is a wasteful number, since it uses less digits than its factorization.

20230024080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12713 (or 12707 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 20230024080 its reverse (8042003202), we get a palindrome (28272027282).

The spelling of 20230024080 in words is "twenty billion, two hundred thirty million, twenty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1033 1680 2066 3099 4132 5165 6198 7231 8264 10330 11657 12396 14462 15495 16528 20660 21693 23314 24792 28924 30990 34971 36155 41320 43386 46628 49584 57848 58285 61980 69942 72310 81599 82640 86772 93256 108465 115696 116570 123960 139884 144620 163198 173544 174855 186512 216930 233140 244797 247920 279768 289240 326396 347088 349710 407995 433860 466280 489594 559536 578480 652792 699420 815990 867720 932560 979188 1223985 1305584 1398840 1631980 1735440 1958376 2447970 2797680 3263960 3916752 4895940 6527920 9791880 12041681 19583760 24083362 36125043 48166724 60208405 72250086 84291767 96333448 120416810 144500172 168583534 180625215 192666896 240833620 252875301 289000344 337167068 361250430 421458835 481667240 505750602 578000688 674334136 722500860 842917670 963334480 1011501204 1264376505 1348668272 1445001720 1685835340 2023002408 2528753010 2890003440 3371670680 4046004816 5057506020 6743341360 10115012040 20230024080