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1425196320 = 2535832431
BaseRepresentation
bin101010011110010…
…1100010100100000
310200022202110210220
41110330230110200
510404322240240
6353230523040
750213653212
oct12474542440
93608673726
101425196320
116715390a9
12339366480
13199361142
14d73d05b2
15851c05d0
hex54f2c520

1425196320 has 144 divisors (see below), whose sum is σ = 4554652032. Its totient is φ = 374602240.

The previous prime is 1425196319. The next prime is 1425196349. The reversal of 1425196320 is 236915241.

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 23 ways as a sum of consecutive naturals, for example, 3306505 + ... + 3306935.

It is an arithmetic number, because the mean of its divisors is an integer number (31629528).

Almost surely, 21425196320 is an apocalyptic number.

1425196320 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 1425196320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2277326016).

1425196320 is an abundant number, since it is smaller than the sum of its proper divisors (3129455712).

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

1425196320 is an equidigital number, since it uses as much as digits as its factorization.

1425196320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 1425196320 is about 37751.7724087227. The cubic root of 1425196320 is about 1125.3602322933.

It can be divided in two parts, 1425196 and 320, that added together give a triangular number (1425516 = T1688).

The spelling of 1425196320 in words is "one billion, four hundred twenty-five million, one hundred ninety-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 83 96 120 160 166 240 249 332 415 431 480 498 664 830 862 996 1245 1293 1328 1660 1724 1992 2155 2490 2586 2656 3320 3448 3984 4310 4980 5172 6465 6640 6889 6896 7968 8620 9960 10344 12930 13280 13778 13792 17240 19920 20667 20688 25860 27556 34445 34480 35773 39840 41334 41376 51720 55112 68890 68960 71546 82668 103335 103440 107319 110224 137780 143092 165336 178865 206670 206880 214638 220448 275560 286184 330672 357730 413340 429276 536595 551120 572368 661344 715460 826680 858552 1073190 1102240 1144736 1430920 1653360 1717104 2146380 2861840 2969159 3306720 3434208 4292760 5723680 5938318 8585520 8907477 11876636 14845795 17171040 17814954 23753272 29691590 35629908 44537385 47506544 59383180 71259816 89074770 95013088 118766360 142519632 178149540 237532720 285039264 356299080 475065440 712598160 1425196320