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6123102920 = 2351129541887
BaseRepresentation
bin1011011001111011…
…10010001011001000
3120210201200212010122
411230331302023020
5100020003243140
62451331202412
7304510342004
oct55475621310
916721625118
106123102920
112662371940
12122a746408
1376773b12c
144212d5704
1525c852ab5
hex16cf722c8

6123102920 has 128 divisors (see below), whose sum is σ = 15593990400. Its totient is φ = 2143411200.

The previous prime is 6123102913. The next prime is 6123102961. The reversal of 6123102920 is 292013216.

It is a self number, because there is not a number n which added to its sum of digits gives 6123102920.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6902717 + ... + 6903603.

It is an arithmetic number, because the mean of its divisors is an integer number (121828050).

Almost surely, 26123102920 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 6123102920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7796995200).

6123102920 is an abundant number, since it is smaller than the sum of its proper divisors (9470887480).

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

6123102920 is a wasteful number, since it uses less digits than its factorization.

6123102920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1479 (or 1475 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 6123102920 is about 78250.2582743341. The cubic root of 6123102920 is about 1829.4639376643.

The spelling of 6123102920 in words is "six billion, one hundred twenty-three million, one hundred two thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 29 40 44 55 58 88 110 116 145 220 232 290 319 440 541 580 638 887 1082 1160 1276 1595 1774 2164 2552 2705 3190 3548 4328 4435 5410 5951 6380 7096 8870 9757 10820 11902 12760 15689 17740 19514 21640 23804 25723 29755 31378 35480 39028 47608 48785 51446 59510 62756 78056 78445 97570 102892 119020 125512 128615 156890 172579 195140 205784 238040 257230 282953 313780 345158 390280 479867 514460 565906 627560 690316 862895 959734 1028920 1131812 1380632 1414765 1725790 1919468 2263624 2399335 2829530 3451580 3838936 4798670 5278537 5659060 6903160 9597340 10557074 11318120 13916143 19194680 21114148 26392685 27832286 42228296 52785370 55664572 69580715 105570740 111329144 139161430 153077573 211141480 278322860 306155146 556645720 612310292 765387865 1224620584 1530775730 3061551460 6123102920