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2151369620 = 22519311811009
BaseRepresentation
bin1000000000111011…
…0100101110010100
312112221011220022022
42000032310232110
513401222311440
6553251152312
7104212224431
oct20016645624
95487156268
102151369620
11a04434924
125005a5698
1328393579a
14165a1cb88
15c8d12cb5
hex803b4b94

2151369620 has 96 divisors (see below), whose sum is σ = 4941081600. Its totient is φ = 783820800.

The previous prime is 2151369617. The next prime is 2151369629. The reversal of 2151369620 is 269631512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2151369629) 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 31 ways as a sum of consecutive naturals, for example, 2131676 + ... + 2132684.

It is an arithmetic number, because the mean of its divisors is an integer number (51469600).

Almost surely, 22151369620 is an apocalyptic number.

2151369620 is a gapful number since it is divisible by the number (20) 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 2151369620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2470540800).

2151369620 is an abundant number, since it is smaller than the sum of its proper divisors (2789711980).

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

2151369620 is a wasteful number, since it uses less digits than its factorization.

2151369620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 35.

The square root of 2151369620 is about 46382.8591184287. The cubic root of 2151369620 is about 1290.9368872574.

The spelling of 2151369620 in words is "two billion, one hundred fifty-one million, three hundred sixty-nine thousand, six hundred twenty".

Divisors: 1 2 4 5 10 19 20 31 38 62 76 95 124 155 181 190 310 362 380 589 620 724 905 1009 1178 1810 2018 2356 2945 3439 3620 4036 5045 5611 5890 6878 10090 11222 11780 13756 17195 19171 20180 22444 28055 31279 34390 38342 56110 62558 68780 76684 95855 106609 112220 125116 156395 182629 191710 213218 312790 365258 383420 426436 533045 594301 625580 730516 913145 1066090 1188602 1826290 2132180 2377204 2971505 3469951 3652580 5661499 5943010 6939902 11322998 11886020 13879804 17349755 22645996 28307495 34699510 56614990 69399020 107568481 113229980 215136962 430273924 537842405 1075684810 2151369620