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1425010400 = 255211831951
BaseRepresentation
bin101010011101111…
…1110111011100000
310200022102000202222
41110323332323200
510404300313100
6353222530212
750212250162
oct12473767340
93608360688
101425010400
11671421450
12339296968
131992c7628
14d7382932
1585185485
hex54efeee0

1425010400 has 144 divisors (see below), whose sum is σ = 3842754048. Its totient is φ = 511680000.

The previous prime is 1425010351. The next prime is 1425010403. The reversal of 1425010400 is 40105241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1425010403) by changing a digit.

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, 729425 + ... + 731375.

It is an arithmetic number, because the mean of its divisors is an integer number (26685792).

Almost surely, 21425010400 is an apocalyptic number.

1425010400 is a gapful number since it is divisible by the number (10) 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 1425010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1921377024).

1425010400 is an abundant number, since it is smaller than the sum of its proper divisors (2417743648).

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

1425010400 is a wasteful number, since it uses less digits than its factorization.

1425010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2065 (or 2052 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 1425010400 is about 37749.3099274675. The cubic root of 1425010400 is about 1125.3112949247.

Adding to 1425010400 its reverse (40105241), we get a palindrome (1465115641).

The spelling of 1425010400 in words is "one billion, four hundred twenty-five million, ten thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 83 88 100 110 160 166 176 200 220 275 332 352 400 415 440 550 664 800 830 880 913 1100 1328 1660 1760 1826 1951 2075 2200 2656 3320 3652 3902 4150 4400 4565 6640 7304 7804 8300 8800 9130 9755 13280 14608 15608 16600 18260 19510 21461 22825 29216 31216 33200 36520 39020 42922 45650 48775 62432 66400 73040 78040 85844 91300 97550 107305 146080 156080 161933 171688 182600 195100 214610 312160 323866 343376 365200 390200 429220 536525 647732 686752 730400 780400 809665 858440 1073050 1295464 1560800 1619330 1716880 1781263 2146100 2590928 3238660 3433760 3562526 4048325 4292200 5181856 6477320 7125052 8096650 8584400 8906315 12954640 14250104 16193300 17168800 17812630 25909280 28500208 32386600 35625260 44531575 57000416 64773200 71250520 89063150 129546400 142501040 178126300 285002080 356252600 712505200 1425010400