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2070122960 = 245193143933
BaseRepresentation
bin111101101100011…
…1001000111010000
312100021022010211202
41323120321013100
513214422413320
6541225530332
7102204516623
oct17330710720
95307263752
102070122960
11972592024
124993439a8
1326cb59b39
14158d0ddba
15c1b14b75
hex7b6391d0

2070122960 has 80 divisors (see below), whose sum is σ = 5229903360. Its totient is φ = 759144960.

The previous prime is 2070122939. The next prime is 2070123047. The reversal of 2070122960 is 692210702.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 25154 + ... + 69086.

It is an arithmetic number, because the mean of its divisors is an integer number (65373792).

Almost surely, 22070122960 is an apocalyptic number.

2070122960 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 2070122960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2614951680).

2070122960 is an abundant number, since it is smaller than the sum of its proper divisors (3159780400).

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

2070122960 is a wasteful number, since it uses less digits than its factorization.

2070122960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43996 (or 43990 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 2070122960 is about 45498.6039346264. The cubic root of 2070122960 is about 1274.4771322668.

The spelling of 2070122960 in words is "two billion, seventy million, one hundred twenty-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 19 20 31 38 40 62 76 80 95 124 152 155 190 248 304 310 380 496 589 620 760 1178 1240 1520 2356 2480 2945 4712 5890 9424 11780 23560 43933 47120 87866 175732 219665 351464 439330 702928 834727 878660 1361923 1669454 1757320 2723846 3338908 3514640 4173635 5447692 6677816 6809615 8347270 10895384 13355632 13619230 16694540 21790768 25876537 27238460 33389080 51753074 54476920 66778160 103506148 108953840 129382685 207012296 258765370 414024592 517530740 1035061480 2070122960