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2154412400 = 245272109919
BaseRepresentation
bin1000000001101001…
…1011100101110000
312120010220111012212
42000122123211300
513403012144100
6553440311252
7104250126500
oct20032334560
95503814185
102154412400
11a06122a18
12501612528
1328445c74a
141661b1a00
15c9214635
hex8069b970

2154412400 has 90 divisors (see below), whose sum is σ = 6021087840. Its totient is φ = 738648960.

The previous prime is 2154412399. The next prime is 2154412433. The reversal of 2154412400 is 42144512.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 35360 + ... + 74559.

It is an arithmetic number, because the mean of its divisors is an integer number (66900976).

Almost surely, 22154412400 is an apocalyptic number.

2154412400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2154412400 is an abundant number, since it is smaller than the sum of its proper divisors (3866675440).

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

2154412400 is a wasteful number, since it uses less digits than its factorization.

2154412400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109951 (or 109933 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 2154412400 is about 46415.6482234171. The cubic root of 2154412400 is about 1291.5452108252.

Adding to 2154412400 its reverse (42144512), we get a palindrome (2196556912).

The spelling of 2154412400 in words is "two billion, one hundred fifty-four million, four hundred twelve thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 49 50 56 70 80 98 100 112 140 175 196 200 245 280 350 392 400 490 560 700 784 980 1225 1400 1960 2450 2800 3920 4900 9800 19600 109919 219838 439676 549595 769433 879352 1099190 1538866 1758704 2198380 2747975 3077732 3847165 4396760 5386031 5495950 6155464 7694330 8793520 10772062 10991900 12310928 15388660 19235825 21544124 21983800 26930155 30777320 38471650 43088248 43967600 53860310 61554640 76943300 86176496 107720620 134650775 153886600 215441240 269301550 307773200 430882480 538603100 1077206200 2154412400