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4120479120 = 243527163353
BaseRepresentation
bin1111010110011001…
…1000010110010000
3101122011102000201210
43311212120112100
531414320312440
61520512100120
7204052331442
oct36546302620
911564360653
104120479120
1118249a2a4a
1296bb34640
13508885734
142b1356492
15191b22a80
hexf5998590

4120479120 has 80 divisors (see below), whose sum is σ = 12820822272. Its totient is φ = 1094722560.

The previous prime is 4120479079. The next prime is 4120479133. The reversal of 4120479120 is 219740214.

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 (30).

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, 33364 + ... + 96716.

Almost surely, 24120479120 is an apocalyptic number.

4120479120 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 4120479120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6410411136).

4120479120 is an abundant number, since it is smaller than the sum of its proper divisors (8700343152).

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

4120479120 is a wasteful number, since it uses less digits than its factorization.

4120479120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63640 (or 63634 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 4120479120 is about 64190.9582417960. The cubic root of 4120479120 is about 1603.1810567740.

The spelling of 4120479120 in words is "four billion, one hundred twenty million, four hundred seventy-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 271 542 813 1084 1355 1626 2168 2710 3252 4065 4336 5420 6504 8130 10840 13008 16260 21680 32520 63353 65040 126706 190059 253412 316765 380118 506824 633530 760236 950295 1013648 1267060 1520472 1900590 2534120 3040944 3801180 5068240 7602360 15204720 17168663 34337326 51505989 68674652 85843315 103011978 137349304 171686630 206023956 257529945 274698608 343373260 412047912 515059890 686746520 824095824 1030119780 1373493040 2060239560 4120479120