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4270299120 = 2432537915649
BaseRepresentation
bin1111111010000111…
…1001011111110000
3102000121022200010200
43332201321133300
532221144032440
61543423155200
7210551641443
oct37641713760
912017280120
104270299120
1118a1521a2a
129b2145b00
13530920719
142c71d565a
1519ed68c30
hexfe8797f0

4270299120 has 120 divisors (see below), whose sum is σ = 14379846000. Its totient is φ = 1135669248.

The previous prime is 4270299119. The next prime is 4270299133. The reversal of 4270299120 is 219920724.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 265056 + ... + 280704.

It is an arithmetic number, because the mean of its divisors is an integer number (119832050).

Almost surely, 24270299120 is an apocalyptic number.

4270299120 is a gapful number since it is divisible by the number (40) 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 4270299120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7189923000).

4270299120 is an abundant number, since it is smaller than the sum of its proper divisors (10109546880).

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

4270299120 is a wasteful number, since it uses less digits than its factorization.

4270299120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16047 (or 16038 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 4270299120 is about 65347.5257373988. The cubic root of 4270299120 is about 1622.3806789887.

The spelling of 4270299120 in words is "four billion, two hundred seventy million, two hundred ninety-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 379 720 758 1137 1516 1895 2274 3032 3411 3790 4548 5685 6064 6822 7580 9096 11370 13644 15160 15649 17055 18192 22740 27288 30320 31298 34110 45480 46947 54576 62596 68220 78245 90960 93894 125192 136440 140841 156490 187788 234735 250384 272880 281682 312980 375576 469470 563364 625960 704205 751152 938940 1126728 1251920 1408410 1877880 2253456 2816820 3755760 5633640 5930971 11267280 11861942 17792913 23723884 29654855 35585826 47447768 53378739 59309710 71171652 88964565 94895536 106757478 118619420 142343304 177929130 213514956 237238840 266893695 284686608 355858260 427029912 474477680 533787390 711716520 854059824 1067574780 1423433040 2135149560 4270299120