Search a number
-
+
1425014400 = 27352148439
BaseRepresentation
bin101010011101111…
…1111111010000000
310200022102020021010
41110323333322000
510404300430100
6353223000520
750212264635
oct12473777200
93608366233
101425014400
11671424457
12339299140
131992c93b4
14d738418c
1585186750
hex54effe80

1425014400 has 96 divisors (see below), whose sum is σ = 4693672800. Its totient is φ = 380001280.

The previous prime is 1425014389. The next prime is 1425014401. The reversal of 1425014400 is 44105241.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (1425014401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64620 + ... + 83819.

It is an arithmetic number, because the mean of its divisors is an integer number (48892425).

Almost surely, 21425014400 is an apocalyptic number.

1425014400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1425014400 is an abundant number, since it is smaller than the sum of its proper divisors (3268658400).

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

1425014400 is a wasteful number, since it uses less digits than its factorization.

1425014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148466 (or 148449 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 1425014400 is about 37749.3629085313. The cubic root of 1425014400 is about 1125.3123478388.

Adding to 1425014400 its reverse (44105241), we get a palindrome (1469119641).

The spelling of 1425014400 in words is "one billion, four hundred twenty-five million, fourteen thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 300 320 384 400 480 600 640 800 960 1200 1600 1920 2400 3200 4800 9600 148439 296878 445317 593756 742195 890634 1187512 1484390 1781268 2226585 2375024 2968780 3562536 3710975 4453170 4750048 5937560 7125072 7421950 8906340 9500096 11132925 11875120 14250144 14843900 17812680 19000192 22265850 23750240 28500288 29687800 35625360 44531700 47500480 57000576 59375600 71250720 89063400 95000960 118751200 142501440 178126800 237502400 285002880 356253600 475004800 712507200 1425014400