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1420532740 = 22511241103139
BaseRepresentation
bin101010010101011…
…1001110000000100
310122222222112120201
41110222321300010
510402124021430
6352542540244
750126220604
oct12452716004
93588875521
101420532740
11669943300
12337897684
131983ba523
14d6938c04
1584a9d8ca
hex54ab9c04

1420532740 has 144 divisors (see below), whose sum is σ = 3415950720. Its totient is φ = 495475200.

The previous prime is 1420532717. The next prime is 1420532753. The reversal of 1420532740 is 472350241.

It is a junction number, because it is equal to n+sod(n) for n = 1420532699 and 1420532708.

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 47 ways as a sum of consecutive naturals, for example, 10219591 + ... + 10219729.

It is an arithmetic number, because the mean of its divisors is an integer number (23721880).

Almost surely, 21420532740 is an apocalyptic number.

1420532740 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 1420532740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1707975360).

1420532740 is an abundant number, since it is smaller than the sum of its proper divisors (1995417980).

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

1420532740 is a wasteful number, since it uses less digits than its factorization.

1420532740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 1420532740 is about 37689.9554258160. The cubic root of 1420532740 is about 1124.1314092212.

Adding to 1420532740 its reverse (472350241), we get a palindrome (1892882981).

The spelling of 1420532740 in words is "one billion, four hundred twenty million, five hundred thirty-two thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 103 110 121 139 164 205 206 220 242 278 410 412 451 484 515 556 605 695 820 902 1030 1133 1210 1390 1529 1804 2060 2255 2266 2420 2780 3058 4223 4510 4532 4961 5665 5699 6116 7645 8446 9020 9922 11330 11398 12463 14317 15290 16819 16892 19844 21115 22660 22796 24805 24926 28495 28634 30580 33638 42230 46453 49610 49852 56990 57268 62315 62689 67276 71585 84095 84460 92906 99220 113980 124630 125378 143170 157487 168190 185812 232265 249260 250756 286340 313445 314974 336380 464530 510983 586997 626890 629948 689579 787435 929060 1021966 1173994 1253780 1379158 1574870 1732357 2043932 2347988 2554915 2758316 2934985 3149740 3447895 3464714 5109830 5869970 6456967 6895790 6929428 8661785 10219660 11739940 12913934 13791580 17323570 25827868 32284835 34647140 64569670 71026637 129139340 142053274 284106548 355133185 710266370 1420532740