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2420450120 = 2351144133
BaseRepresentation
bin1001000001000101…
…0010001101001000
320020200111121100202
42100101102031020
514424113400440
61040102351332
7113660325614
oct22021221510
96220447322
102420450120
111032310000
1257672b548
132c75c8c0a
1418d664344
15e2765615
hex90452348

2420450120 has 80 divisors (see below), whose sum is σ = 5992026300. Its totient is φ = 879950720.

The previous prime is 2420450119. The next prime is 2420450143. The reversal of 2420450120 is 210540242.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2413363876 + 7086244 = 49126^2 + 2662^2 .

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2420450092 and 2420450101.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 583574 + ... + 587706.

Almost surely, 22420450120 is an apocalyptic number.

2420450120 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 2420450120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2996013150).

2420450120 is an abundant number, since it is smaller than the sum of its proper divisors (3571576180).

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

2420450120 is an equidigital number, since it uses as much as digits as its factorization.

2420450120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4188 (or 4151 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 2420450120 is about 49198.0702873598. The cubic root of 2420450120 is about 1342.6579233877.

Adding to 2420450120 its reverse (210540242), we get a palindrome (2630990362).

The spelling of 2420450120 in words is "two billion, four hundred twenty million, four hundred fifty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 1331 2420 2662 4133 4840 5324 6655 8266 10648 13310 14641 16532 20665 26620 29282 33064 41330 45463 53240 58564 73205 82660 90926 117128 146410 165320 181852 227315 292820 363704 454630 500093 585640 909260 1000186 1818520 2000372 2500465 4000744 5000930 5501023 10001860 11002046 20003720 22004092 27505115 44008184 55010230 60511253 110020460 121022506 220040920 242045012 302556265 484090024 605112530 1210225060 2420450120