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2420040300 = 2235233124371
BaseRepresentation
bin1001000000111110…
…1110001001101100
320020122201210012020
42100033232021230
514424012242200
61040045510140
7113654001036
oct22017561154
96218653166
102420040300
111032060107
12576572350
132c74b4512
1418d598c56
15e26d3ea0
hex903ee26c

2420040300 has 72 divisors (see below), whose sum is σ = 7023425472. Its totient is φ = 643368000.

The previous prime is 2420040223. The next prime is 2420040319. The reversal of 2420040300 is 30400242.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2420040300.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87115 + ... + 111485.

It is an arithmetic number, because the mean of its divisors is an integer number (97547576).

Almost surely, 22420040300 is an apocalyptic number.

2420040300 is a gapful number since it is divisible by the number (20) 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 2420040300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3511712736).

2420040300 is an abundant number, since it is smaller than the sum of its proper divisors (4603385172).

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

2420040300 is a wasteful number, since it uses less digits than its factorization.

2420040300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24719 (or 24712 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 2420040300 is about 49193.9051102878. The cubic root of 2420040300 is about 1342.5821414600.

Adding to 2420040300 its reverse (30400242), we get a palindrome (2450440542).

The spelling of 2420040300 in words is "two billion, four hundred twenty million, forty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 331 662 993 1324 1655 1986 3310 3972 4965 6620 8275 9930 16550 19860 24371 24825 33100 48742 49650 73113 97484 99300 121855 146226 243710 292452 365565 487420 609275 731130 1218550 1462260 1827825 2437100 3655650 7311300 8066801 16133602 24200403 32267204 40334005 48400806 80668010 96801612 121002015 161336020 201670025 242004030 403340050 484008060 605010075 806680100 1210020150 2420040300