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2120460960 = 253541107747
BaseRepresentation
bin111111001100011…
…1010101010100000
312110210000120121010
41332120322222200
513320314222320
6550224500520
7103355422632
oct17630725240
95423016533
102120460960
11998a43782
124b217a740
1327a403037
14161894a52
15c6259ae0
hex7e63aaa0

2120460960 has 96 divisors (see below), whose sum is σ = 6842428992. Its totient is φ = 551659520.

The previous prime is 2120460943. The next prime is 2120460989. The reversal of 2120460960 is 690640212.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34194 + ... + 73553.

It is an arithmetic number, because the mean of its divisors is an integer number (71275302).

Almost surely, 22120460960 is an apocalyptic number.

2120460960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120460960 is an abundant number, since it is smaller than the sum of its proper divisors (4721968032).

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

2120460960 is a wasteful number, since it uses less digits than its factorization.

2120460960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107806 (or 107798 counting only the distinct ones).

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

The square root of 2120460960 is about 46048.4631665379. The cubic root of 2120460960 is about 1284.7247584822.

The spelling of 2120460960 in words is "two billion, one hundred twenty million, four hundred sixty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 80 82 96 120 123 160 164 205 240 246 328 410 480 492 615 656 820 984 1230 1312 1640 1968 2460 3280 3936 4920 6560 9840 19680 107747 215494 323241 430988 538735 646482 861976 1077470 1292964 1616205 1723952 2154940 2585928 3232410 3447904 4309880 4417627 5171856 6464820 8619760 8835254 10343712 12929640 13252881 17239520 17670508 22088135 25859280 26505762 35341016 44176270 51718560 53011524 66264405 70682032 88352540 106023048 132528810 141364064 176705080 212046096 265057620 353410160 424092192 530115240 706820320 1060230480 2120460960