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2923116240 = 2435111935737
BaseRepresentation
bin1010111000111011…
…0011011011010000
321112201100200122110
42232032303123100
521441304204430
61202020305320
7132303035532
oct25616633320
97481320573
102923116240
111270028550
12696b42240
133777a56a5
141da311852
151219587b0
hexae3b36d0

2923116240 has 160 divisors (see below), whose sum is σ = 9938399616. Its totient is φ = 704839680.

The previous prime is 2923116223. The next prime is 2923116241. The reversal of 2923116240 is 426113292.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2923116198 and 2923116207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2923116241) by changing a digit.

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, 506652 + ... + 512388.

Almost surely, 22923116240 is an apocalyptic number.

2923116240 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 2923116240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4969199808).

2923116240 is an abundant number, since it is smaller than the sum of its proper divisors (7015283376).

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

2923116240 is a wasteful number, since it uses less digits than its factorization.

2923116240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5957 (or 5951 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 2923116240 is about 54065.8509597324. The cubic root of 2923116240 is about 1429.8221762026.

The spelling of 2923116240 in words is "two billion, nine hundred twenty-three million, one hundred sixteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 193 220 240 264 330 386 440 528 579 660 772 880 965 1158 1320 1544 1930 2123 2316 2640 2895 3088 3860 4246 4632 5737 5790 6369 7720 8492 9264 10615 11474 11580 12738 15440 16984 17211 21230 22948 23160 25476 28685 31845 33968 34422 42460 45896 46320 50952 57370 63107 63690 68844 84920 86055 91792 101904 114740 126214 127380 137688 169840 172110 189321 229480 252428 254760 275376 315535 344220 378642 458960 504856 509520 631070 688440 757284 946605 1009712 1107241 1262140 1376880 1514568 1893210 2214482 2524280 3029136 3321723 3786420 4428964 5048560 5536205 6643446 7572840 8857928 11072410 12179651 13286892 15145680 16608615 17715856 22144820 24359302 26573784 33217230 36538953 44289640 48718604 53147568 60898255 66434460 73077906 88579280 97437208 121796510 132868920 146155812 182694765 194874416 243593020 265737840 292311624 365389530 487186040 584623248 730779060 974372080 1461558120 2923116240