Search a number
-
+
1054301400 = 233352195241
BaseRepresentation
bin111110110101110…
…101110011011000
32201110212001122000
4332311311303120
54124400121100
6252341201000
735061262005
oct7665656330
92643761560
101054301400
114a1142279
12255100160
1313a5703a9
14a00448ac
156285a900
hex3ed75cd8

1054301400 has 96 divisors (see below), whose sum is σ = 3631501200. Its totient is φ = 281145600.

The previous prime is 1054301399. The next prime is 1054301411. The reversal of 1054301400 is 41034501.

It is a happy number.

It is a super-2 number, since 2×10543014002 = 2223102884083920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92221 + ... + 103020.

Almost surely, 21054301400 is an apocalyptic number.

1054301400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1054301400 is an abundant number, since it is smaller than the sum of its proper divisors (2577199800).

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

1054301400 is a wasteful number, since it uses less digits than its factorization.

1054301400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195266 (or 195251 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1054301400 is about 32470.0076994139. The cubic root of 1054301400 is about 1017.7823793127.

Adding to 1054301400 its reverse (41034501), we get a palindrome (1095335901).

The spelling of 1054301400 in words is "one billion, fifty-four million, three hundred one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 90 100 108 120 135 150 180 200 216 225 270 300 360 450 540 600 675 900 1080 1350 1800 2700 5400 195241 390482 585723 780964 976205 1171446 1561928 1757169 1952410 2342892 2928615 3514338 3904820 4685784 4881025 5271507 5857230 7028676 7809640 8785845 9762050 10543014 11714460 14057352 14643075 17571690 19524100 21086028 23428920 26357535 29286150 35143380 39048200 42172056 43929225 52715070 58572300 70286760 87858450 105430140 117144600 131787675 175716900 210860280 263575350 351433800 527150700 1054301400