Search a number
-
+
2421578040 = 233572411833
BaseRepresentation
bin1001000001010110…
…0101100100111000
320020202121220120120
42100111211210320
514424410444130
61040142453240
7114003034200
oct22025454470
96222556516
102421578040
111032a10472
12576b94220
132c790241b
1418d879400
15e28d9910
hex90565938

2421578040 has 96 divisors (see below), whose sum is σ = 8450833680. Its totient is φ = 553502208.

The previous prime is 2421578011. The next prime is 2421578057. The reversal of 2421578040 is 408751242.

It is a junction number, because it is equal to n+sod(n) for n = 2421577992 and 2421578010.

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, 200037 + ... + 211796.

Almost surely, 22421578040 is an apocalyptic number.

2421578040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2421578040 is an abundant number, since it is smaller than the sum of its proper divisors (6029255640).

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

2421578040 is a wasteful number, since it uses less digits than its factorization.

2421578040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411861 (or 411850 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 33.

The square root of 2421578040 is about 49209.5320034645. The cubic root of 2421578040 is about 1342.8664487273.

The spelling of 2421578040 in words is "two billion, four hundred twenty-one million, five hundred seventy-eight thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 392 420 490 588 735 840 980 1176 1470 1960 2940 5880 411833 823666 1235499 1647332 2059165 2470998 2882831 3294664 4118330 4941996 5765662 6177495 8236660 8648493 9883992 11531324 12354990 14414155 16473320 17296986 20179817 23062648 24709980 28828310 34593972 40359634 43242465 49419960 57656620 60539451 69187944 80719268 86484930 100899085 115313240 121078902 161438536 172969860 201798170 242157804 302697255 345939720 403596340 484315608 605394510 807192680 1210789020 2421578040