Search a number
-
+
20404413400 = 23527212491667
BaseRepresentation
bin10011000000001100…
…101010001111011000
31221200000111121010211
4103000030222033120
5313242012212100
613212413220504
71321432436500
oct230014521730
957600447124
1020404413400
118720839878
123b55491734
131c02402cc7
14db7cb8a00
157e65021ba
hex4c032a3d8

20404413400 has 144 divisors (see below), whose sum is σ = 55262925000. Its totient is φ = 6986004480.

The previous prime is 20404413397. The next prime is 20404413437. The reversal of 20404413400 is 431440402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12239367 + ... + 12241033.

Almost surely, 220404413400 is an apocalyptic number.

20404413400 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 20404413400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27631462500).

20404413400 is an abundant number, since it is smaller than the sum of its proper divisors (34858511600).

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

20404413400 is a wasteful number, since it uses less digits than its factorization.

20404413400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2946 (or 2930 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 20404413400 its reverse (431440402), we get a palindrome (20835853802).

The spelling of 20404413400 in words is "twenty billion, four hundred four million, four hundred thirteen thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 280 350 392 490 700 980 1225 1249 1400 1667 1960 2450 2498 3334 4900 4996 6245 6668 8335 8743 9800 9992 11669 12490 13336 16670 17486 23338 24980 31225 33340 34972 41675 43715 46676 49960 58345 61201 62450 66680 69944 81683 83350 87430 93352 116690 122402 124900 163366 166700 174860 218575 233380 244804 249800 291725 306005 326732 333400 349720 408415 437150 466760 489608 583450 612010 653464 816830 874300 1166900 1224020 1530025 1633660 1748600 2042075 2082083 2333800 2448040 3060050 3267320 4084150 4164166 6120100 8168300 8328332 10410415 12240200 14574581 16336600 16656664 20820830 29149162 41641660 52052075 58298324 72872905 83283320 102022067 104104150 116596648 145745810 204044134 208208300 291491620 364364525 408088268 416416600 510110335 582983240 728729050 816176536 1020220670 1457458100 2040441340 2550551675 2914916200 4080882680 5101103350 10202206700 20404413400