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4640420000 = 2554673463
BaseRepresentation
bin1000101001001011…
…10011000010100000
3102222101202202112102
410110211303002200
534000421420000
62044244145532
7222664630166
oct42445630240
912871682472
104640420000
111a7143a257
12a960982a8
1358c500068
1432041d236
151c25c93d5
hex1149730a0

4640420000 has 120 divisors (see below), whose sum is σ = 11589865056. Its totient is φ = 1827936000.

The previous prime is 4640419969. The next prime is 4640420003. The reversal of 4640420000 is 240464.

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

It is not an unprimeable number, because it can be changed into a prime (4640420003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1338269 + ... + 1341731.

Almost surely, 24640420000 is an apocalyptic number.

4640420000 is a gapful number since it is divisible by the number (40) 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 4640420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5794932528).

4640420000 is an abundant number, since it is smaller than the sum of its proper divisors (6949445056).

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

4640420000 is an equidigital number, since it uses as much as digits as its factorization.

4640420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3560 (or 3537 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4640420000 is about 68120.6283000972. The cubic root of 4640420000 is about 1667.9605064384.

Adding to 4640420000 its reverse (240464), we get a palindrome (4640660464).

The spelling of 4640420000 in words is "four billion, six hundred forty million, four hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 67 80 100 125 134 160 200 250 268 335 400 500 536 625 670 800 1000 1072 1250 1340 1675 2000 2144 2500 2680 3350 3463 4000 5000 5360 6700 6926 8375 10000 10720 13400 13852 16750 17315 20000 26800 27704 33500 34630 41875 53600 55408 67000 69260 83750 86575 110816 134000 138520 167500 173150 232021 268000 277040 335000 346300 432875 464042 554080 670000 692600 865750 928084 1160105 1340000 1385200 1731500 1856168 2164375 2320210 2770400 3463000 3712336 4328750 4640420 5800525 6926000 7424672 8657500 9280840 11601050 13852000 17315000 18561680 23202100 29002625 34630000 37123360 46404200 58005250 69260000 92808400 116010500 145013125 185616800 232021000 290026250 464042000 580052500 928084000 1160105000 2320210000 4640420000