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1070848820 = 225375924527
BaseRepresentation
bin111111110100111…
…101101100110100
32202121222202102102
4333310331230310
54143114130240
6254132001232
735352031136
oct7764755464
92677882372
101070848820
114aa514628
1225a760218
13140b15172
14a2311056
1564028815
hex3fd3db34

1070848820 has 48 divisors (see below), whose sum is σ = 2348801280. Its totient is φ = 409682304.

The previous prime is 1070848813. The next prime is 1070848837. The reversal of 1070848820 is 288480701.

It is a happy number.

It is a super-2 number, since 2×10708488202 = 2293434390590784800, which contains 22 as substring.

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, 31397 + ... + 55923.

It is an arithmetic number, because the mean of its divisors is an integer number (48933360).

Almost surely, 21070848820 is an apocalyptic number.

1070848820 is a gapful number since it is divisible by the number (10) 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 1070848820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1174400640).

1070848820 is an abundant number, since it is smaller than the sum of its proper divisors (1277952460).

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

1070848820 is a wasteful number, since it uses less digits than its factorization.

1070848820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24632 (or 24630 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 38.

The square root of 1070848820 is about 32723.8264877444. The cubic root of 1070848820 is about 1023.0795116036.

The spelling of 1070848820 in words is "one billion, seventy million, eight hundred forty-eight thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 37 59 74 118 148 185 236 295 370 590 740 1180 2183 4366 8732 10915 21830 24527 43660 49054 98108 122635 245270 490540 907499 1447093 1814998 2894186 3629996 4537495 5788372 7235465 9074990 14470930 18149980 28941860 53542441 107084882 214169764 267712205 535424410 1070848820