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2054053400 = 235279711511
BaseRepresentation
bin111101001101110…
…0101111000011000
312022011001201112212
41322123211320120
513201314202100
6535453254252
7101621110610
oct17233457030
95264051485
102054053400
119645067a3
12493a94388
13269721719
14156b29a40
15c04dd635
hex7a6e5e18

2054053400 has 96 divisors (see below), whose sum is σ = 5467150080. Its totient is φ = 703056000.

The previous prime is 2054053367. The next prime is 2054053411. The reversal of 2054053400 is 43504502.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1358645 + ... + 1360155.

It is an arithmetic number, because the mean of its divisors is an integer number (56949480).

Almost surely, 22054053400 is an apocalyptic number.

2054053400 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 2054053400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2733575040).

2054053400 is an abundant number, since it is smaller than the sum of its proper divisors (3413096680).

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

2054053400 is a wasteful number, since it uses less digits than its factorization.

2054053400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2505 (or 2496 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 23.

The square root of 2054053400 is about 45321.6659005381. The cubic root of 2054053400 is about 1271.1708053204.

Adding to 2054053400 its reverse (43504502), we get a palindrome (2097557902).

The spelling of 2054053400 in words is "two billion, fifty-four million, fifty-three thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 971 1400 1511 1942 3022 3884 4855 6044 6797 7555 7768 9710 10577 12088 13594 15110 19420 21154 24275 27188 30220 33985 37775 38840 42308 48550 52885 54376 60440 67970 75550 84616 97100 105770 135940 151100 169925 194200 211540 264425 271880 302200 339850 423080 528850 679700 1057700 1359400 1467181 2115400 2934362 5868724 7335905 10270267 11737448 14671810 20540534 29343620 36679525 41081068 51351335 58687240 73359050 82162136 102702670 146718100 205405340 256756675 293436200 410810680 513513350 1027026700 2054053400