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3120203040 = 253514943627
BaseRepresentation
bin1011100111111010…
…1000010100100000
322001110012201220120
42321332220110200
522342232444130
61233340440240
7140215200603
oct27176502440
98043181816
103120203040
1113613007a9
12730b49080
133a957c9b6
1421857633a
15133dd9910
hexb9fa8520

3120203040 has 96 divisors (see below), whose sum is σ = 9894830400. Its totient is φ = 826450944.

The previous prime is 3120203017. The next prime is 3120203057. The reversal of 3120203040 is 403020213.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 49707 + ... + 93333.

It is an arithmetic number, because the mean of its divisors is an integer number (103071150).

Almost surely, 23120203040 is an apocalyptic number.

3120203040 is a gapful number since it is divisible by the number (30) 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 3120203040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4947415200).

3120203040 is an abundant number, since it is smaller than the sum of its proper divisors (6774627360).

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

3120203040 is a wasteful number, since it uses less digits than its factorization.

3120203040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43794 (or 43786 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 3120203040 is about 55858.7776450577. Note that the first 3 decimals coincide. The cubic root of 3120203040 is about 1461.2604115479.

Adding to 3120203040 its reverse (403020213), we get a palindrome (3523223253).

The spelling of 3120203040 in words is "three billion, one hundred twenty million, two hundred three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 149 160 240 298 447 480 596 745 894 1192 1490 1788 2235 2384 2980 3576 4470 4768 5960 7152 8940 11920 14304 17880 23840 35760 43627 71520 87254 130881 174508 218135 261762 349016 436270 523524 654405 698032 872540 1047048 1308810 1396064 1745080 2094096 2617620 3490160 4188192 5235240 6500423 6980320 10470480 13000846 19501269 20940960 26001692 32502115 39002538 52003384 65004230 78005076 97506345 104006768 130008460 156010152 195012690 208013536 260016920 312020304 390025380 520033840 624040608 780050760 1040067680 1560101520 3120203040