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5253807120 = 2435971271777
BaseRepresentation
bin1001110010010011…
…01011110000010000
3111120010222001110220
410321021223300100
541224433311440
62225155153040
7244123423632
oct47111536020
914503861426
105253807120
112256701061
1210275a5780
13659605113
1437ba8ca52
1520b38d8d0
hex13926bc10

5253807120 has 160 divisors (see below), whose sum is σ = 16593604608. Its totient is φ = 1374879744.

The previous prime is 5253807101. The next prime is 5253807121. The reversal of 5253807120 is 217083525.

It is not an unprimeable number, because it can be changed into a prime (5253807121) 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, 2955672 + ... + 2957448.

Almost surely, 25253807120 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 5253807120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8296802304).

5253807120 is an abundant number, since it is smaller than the sum of its proper divisors (11339797488).

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

5253807120 is a wasteful number, since it uses less digits than its factorization.

5253807120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2017 (or 2011 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 5253807120 is about 72483.1505937759. The cubic root of 5253807120 is about 1738.4333368237.

The spelling of 5253807120 in words is "five billion, two hundred fifty-three million, eight hundred seven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 97 120 127 194 240 254 291 381 388 485 508 582 635 762 776 970 1016 1164 1270 1455 1524 1552 1777 1905 1940 2032 2328 2540 2910 3048 3554 3810 3880 4656 5080 5331 5820 6096 7108 7620 7760 8885 10160 10662 11640 12319 14216 15240 17770 21324 23280 24638 26655 28432 30480 35540 36957 42648 49276 53310 61595 71080 73914 85296 98552 106620 123190 142160 147828 172369 184785 197104 213240 225679 246380 295656 344738 369570 426480 451358 492760 517107 591312 677037 689476 739140 861845 902716 985520 1034214 1128395 1354074 1378952 1478280 1723690 1805432 2068428 2256790 2585535 2708148 2757904 2956560 3385185 3447380 3610864 4136856 4513580 5171070 5416296 6770370 6894760 8273712 9027160 10342140 10832592 13540740 13789520 18054320 20684280 21890863 27081480 41368560 43781726 54162960 65672589 87563452 109454315 131345178 175126904 218908630 262690356 328362945 350253808 437817260 525380712 656725890 875634520 1050761424 1313451780 1751269040 2626903560 5253807120