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3020032120 = 235741503523
BaseRepresentation
bin1011010000000010…
…0000100001111000
321210110201112020111
42310000200201320
522141112011440
61215401434104
7134560564240
oct26400404170
97713645214
103020032120
11130a802916
1270349b934
133918a9471
1420913cb20
1512a1ee4ea
hexb4020878

3020032120 has 128 divisors (see below), whose sum is σ = 7986263040. Its totient is φ = 1006248960.

The previous prime is 3020032117. The next prime is 3020032123. The reversal of 3020032120 is 212300203.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3020032117) and next prime (3020032123).

It is a self number, because there is not a number n which added to its sum of digits gives 3020032120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3020032123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5774179 + ... + 5774701.

It is an arithmetic number, because the mean of its divisors is an integer number (62392680).

Almost surely, 23020032120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3020032120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3993131520).

3020032120 is an abundant number, since it is smaller than the sum of its proper divisors (4966230920).

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

3020032120 is a wasteful number, since it uses less digits than its factorization.

3020032120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1085 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 3020032120 is about 54954.8188969812. The cubic root of 3020032120 is about 1445.4525978544.

Adding to 3020032120 its reverse (212300203), we get a palindrome (3232332323).

The spelling of 3020032120 in words is "three billion, twenty million, thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 41 56 70 82 140 164 205 280 287 328 410 503 523 574 820 1006 1046 1148 1435 1640 2012 2092 2296 2515 2615 2870 3521 3661 4024 4184 5030 5230 5740 7042 7322 10060 10460 11480 14084 14644 17605 18305 20120 20623 20920 21443 28168 29288 35210 36610 41246 42886 70420 73220 82492 85772 103115 107215 140840 144361 146440 150101 164984 171544 206230 214430 263069 288722 300202 412460 428860 526138 577444 600404 721805 750505 824920 857720 1052276 1154888 1200808 1315345 1443610 1501010 1841483 2104552 2630690 2887220 3002020 3682966 5261380 5774440 6004040 7365932 9207415 10522760 10785829 14731864 18414830 21571658 36829660 43143316 53929145 73659320 75500803 86286632 107858290 151001606 215716580 302003212 377504015 431433160 604006424 755008030 1510016060 3020032120