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2420660400 = 243522017217
BaseRepresentation
bin1001000001001000…
…0101100010110000
320020200220021210220
42100102011202300
514424142113100
61040111053040
7113662162644
oct22022054260
96220807726
102420660400
111032443a94
12576811180
132c7670842
1418d6bac24
15e27a7aa0
hex904858b0

2420660400 has 60 divisors (see below), whose sum is σ = 7754185992. Its totient is φ = 645509120.

The previous prime is 2420660387. The next prime is 2420660419. The reversal of 2420660400 is 40660242.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1007409 + ... + 1009808.

Almost surely, 22420660400 is an apocalyptic number.

2420660400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2420660400 is an abundant number, since it is smaller than the sum of its proper divisors (5333525592).

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

2420660400 is a wasteful number, since it uses less digits than its factorization.

2420660400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2017238 (or 2017227 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2420660400 is about 49200.2073166364. The cubic root of 2420660400 is about 1342.6968040254.

The spelling of 2420660400 in words is "two billion, four hundred twenty million, six hundred sixty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 2017217 4034434 6051651 8068868 10086085 12103302 16137736 20172170 24206604 30258255 32275472 40344340 48413208 50430425 60516510 80688680 96826416 100860850 121033020 151291275 161377360 201721700 242066040 302582550 403443400 484132080 605165100 806886800 1210330200 2420660400