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4230020240 = 245177939371
BaseRepresentation
bin1111110000100000…
…1111110010010000
3101220210112021220022
43330020033302100
532130341121430
61535424003012
7206552402345
oct37410176220
911823467808
104230020240
1118808108a6
129a0760468
13525489c74
142c1b0c7cc
1519b55e4e5
hexfc20fc90

4230020240 has 80 divisors (see below), whose sum is σ = 10545396480. Its totient is φ = 1572280320.

The previous prime is 4230020233. The next prime is 4230020251. The reversal of 4230020240 is 420200324.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87755 + ... + 127125.

It is an arithmetic number, because the mean of its divisors is an integer number (131817456).

Almost surely, 24230020240 is an apocalyptic number.

4230020240 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 4230020240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5272698240).

4230020240 is an abundant number, since it is smaller than the sum of its proper divisors (6315376240).

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

4230020240 is a wasteful number, since it uses less digits than its factorization.

4230020240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39480 (or 39474 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 4230020240 is about 65038.6057661140. The cubic root of 4230020240 is about 1617.2636119604.

Adding to 4230020240 its reverse (420200324), we get a palindrome (4650220564).

The spelling of 4230020240 in words is "four billion, two hundred thirty million, twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 79 80 85 136 158 170 272 316 340 395 632 680 790 1264 1343 1360 1580 2686 3160 5372 6320 6715 10744 13430 21488 26860 39371 53720 78742 107440 157484 196855 314968 393710 629936 669307 787420 1338614 1574840 2677228 3110309 3149680 3346535 5354456 6220618 6693070 10708912 12441236 13386140 15551545 24882472 26772280 31103090 49764944 52875253 53544560 62206180 105750506 124412360 211501012 248824720 264376265 423002024 528752530 846004048 1057505060 2115010120 4230020240