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1070650460 = 2251123457463
BaseRepresentation
bin111111110100001…
…101010001011100
32202121121200022202
4333310031101130
54143041303320
6254123431032
735350243625
oct7764152134
92677550282
101070650460
114aa3995a0
1225a685478
13140a75aa9
14a229ca4c
1563ed9b75
hex3fd0d45c

1070650460 has 96 divisors (see below), whose sum is σ = 2570545152. Its totient is φ = 370782720.

The previous prime is 1070650381. The next prime is 1070650481. The reversal of 1070650460 is 640560701.

It is a super-2 number, since 2×10706504602 = 2292584814996423200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2312189 + ... + 2312651.

It is an arithmetic number, because the mean of its divisors is an integer number (26776512).

Almost surely, 21070650460 is an apocalyptic number.

1070650460 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 1070650460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285272576).

1070650460 is an abundant number, since it is smaller than the sum of its proper divisors (1499894692).

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

1070650460 is a wasteful number, since it uses less digits than its factorization.

1070650460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 1070650460 is about 32720.7955282264. The cubic root of 1070650460 is about 1023.0163372383.

The spelling of 1070650460 in words is "one billion, seventy million, six hundred fifty thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 253 457 460 463 506 914 926 1012 1265 1828 1852 2285 2315 2530 4570 4630 5027 5060 5093 9140 9260 10054 10186 10511 10649 20108 20372 21022 21298 25135 25465 42044 42596 50270 50930 52555 53245 100540 101860 105110 106490 115621 117139 210220 211591 212980 231242 234278 423182 462484 468556 578105 585695 846364 1057955 1156210 1171390 2115910 2312420 2327501 2342780 4231820 4655002 4866593 9310004 9733186 11637505 19466372 23275010 24332965 46550020 48665930 53532523 97331860 107065046 214130092 267662615 535325230 1070650460