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2980623120 = 2435101122963
BaseRepresentation
bin1011000110101000…
…1011001100010000
321200201120100020220
42301222023030100
522101014414440
61211433033040
7133601610216
oct26152131420
97621510226
102980623120
11129a5362a2
126b2255780
1338668b927
14203c00cb6
15126a178d0
hexb1a8b310

2980623120 has 80 divisors (see below), whose sum is σ = 9331492032. Its totient is φ = 786956800.

The previous prime is 2980623091. The next prime is 2980623127. The reversal of 2980623120 is 213260892.

It is a happy number.

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

It is a super-2 number, since 2×29806231202 = 17768228366957068800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2980623127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37242 + ... + 85721.

Almost surely, 22980623120 is an apocalyptic number.

2980623120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2980623120 is an abundant number, since it is smaller than the sum of its proper divisors (6350868912).

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

2980623120 is a wasteful number, since it uses less digits than its factorization.

2980623120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123080 (or 123074 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 2980623120 is about 54595.0832951100. The cubic root of 2980623120 is about 1439.1377167859.

The spelling of 2980623120 in words is "two billion, nine hundred eighty million, six hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 101 120 202 240 303 404 505 606 808 1010 1212 1515 1616 2020 2424 3030 4040 4848 6060 8080 12120 24240 122963 245926 368889 491852 614815 737778 983704 1229630 1475556 1844445 1967408 2459260 2951112 3688890 4918520 5902224 7377780 9837040 12419263 14755560 24838526 29511120 37257789 49677052 62096315 74515578 99354104 124192630 149031156 186288945 198708208 248385260 298062312 372577890 496770520 596124624 745155780 993541040 1490311560 2980623120