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4720137120 = 253254677019
BaseRepresentation
bin1000110010101011…
…11001001110100000
3110011221202210212100
410121111321032200
534131323341440
62100212530400
7224653334466
oct43125711640
913157683770
104720137120
112002437976
12ab8920a00
135a2b9175a
1432ac50836
151c95c4230
hex1195793a0

4720137120 has 144 divisors (see below), whose sum is σ = 16144259040. Its totient is φ = 1255828992.

The previous prime is 4720137089. The next prime is 4720137127. The reversal of 4720137120 is 217310274.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (4720137127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 668971 + ... + 675989.

It is an arithmetic number, because the mean of its divisors is an integer number (112112910).

Almost surely, 24720137120 is an apocalyptic number.

4720137120 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 4720137120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8072129520).

4720137120 is an abundant number, since it is smaller than the sum of its proper divisors (11424121920).

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

4720137120 is a wasteful number, since it uses less digits than its factorization.

4720137120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7507 (or 7496 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 4720137120 is about 68703.2540714048. The cubic root of 4720137120 is about 1677.4575488453.

Adding to 4720137120 its reverse (217310274), we get a palindrome (4937447394).

The spelling of 4720137120 in words is "four billion, seven hundred twenty million, one hundred thirty-seven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 467 480 720 934 1401 1440 1868 2335 2802 3736 4203 4670 5604 7005 7019 7472 8406 9340 11208 14010 14038 14944 16812 18680 21015 21057 22416 28020 28076 33624 35095 37360 42030 42114 44832 56040 56152 63171 67248 70190 74720 84060 84228 105285 112080 112304 126342 134496 140380 168120 168456 210570 224160 224608 252684 280760 315855 336240 336912 421140 505368 561520 631710 672480 673824 842280 1010736 1123040 1263420 1684560 2021472 2526840 3277873 3369120 5053680 6555746 9833619 10107360 13111492 16389365 19667238 26222984 29500857 32778730 39334476 49168095 52445968 59001714 65557460 78668952 98336190 104891936 118003428 131114920 147504285 157337904 196672380 236006856 262229840 295008570 314675808 393344760 472013712 524459680 590017140 786689520 944027424 1180034280 1573379040 2360068560 4720137120