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1428758190 = 2345732331
BaseRepresentation
bin101010100101001…
…0001111010101110
310200120110102210000
41111022101322232
510411230230230
6353435125130
750256146526
oct12512217256
93616412700
101428758190
116735511a2
1233a5a37a6
1319a00a462
14d7a7a686
1585675b60
hex55291eae

1428758190 has 120 divisors (see below), whose sum is σ = 3906887688. Its totient is φ = 374647680.

The previous prime is 1428758171. The next prime is 1428758197. The reversal of 1428758190 is 918578241.

It is a super-2 number, since 2×14287581902 = 4082699930984152200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1428758197) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4316325 + ... + 4316655.

Almost surely, 21428758190 is an apocalyptic number.

1428758190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1428758190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1953443844).

1428758190 is an abundant number, since it is smaller than the sum of its proper divisors (2478129498).

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

1428758190 is an equidigital number, since it uses as much as digits as its factorization.

1428758190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The square root of 1428758190 is about 37798.9178416526. The cubic root of 1428758190 is about 1126.2969575597.

The spelling of 1428758190 in words is "one billion, four hundred twenty-eight million, seven hundred fifty-eight thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 73 81 90 135 146 162 219 270 331 365 405 438 657 662 730 810 993 1095 1314 1655 1971 1986 2190 2979 3285 3310 3942 4965 5329 5913 5958 6570 8937 9855 9930 10658 11826 14895 15987 17874 19710 24163 26645 26811 29565 29790 31974 44685 47961 48326 53290 53622 59130 72489 79935 89370 95922 120815 134055 143883 144978 159870 217467 239805 241630 268110 287766 362445 431649 434934 479610 652401 719415 724890 863298 1087335 1304802 1438830 1763899 1957203 2158245 2174670 3262005 3527798 3914406 4316490 5291697 6524010 8819495 9786015 10583394 15875091 17638990 19572030 26458485 31750182 47625273 52916970 79375455 95250546 142875819 158750910 238126365 285751638 476252730 714379095 1428758190