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1070935000 = 23541911273
BaseRepresentation
bin111111110101010…
…010101111011000
32202122011010122021
4333311102233120
54143124410000
6254133504224
735352540322
oct7765225730
92678133567
101070935000
114aa573353
1225a7a2074
13140b45465
14a2334612
156404411a
hex3fd52bd8

1070935000 has 80 divisors (see below), whose sum is σ = 2641498200. Its totient is φ = 405792000.

The previous prime is 1070934989. The next prime is 1070935001. The reversal of 1070935000 is 5390701.

It is a super-2 number, since 2×10709350002 = 2293803548450000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1070935001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 89364 + ... + 100636.

Almost surely, 21070935000 is an apocalyptic number.

1070935000 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 1070935000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1320749100).

1070935000 is an abundant number, since it is smaller than the sum of its proper divisors (1570563200).

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

1070935000 is a wasteful number, since it uses less digits than its factorization.

1070935000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11318 (or 11299 counting only the distinct ones).

The product of its (nonzero) digits is 945, while the sum is 25.

The square root of 1070935000 is about 32725.1432388003. The cubic root of 1070935000 is about 1023.1069560712.

The spelling of 1070935000 in words is "one billion, seventy million, nine hundred thirty-five thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 152 190 200 250 380 475 500 625 760 950 1000 1250 1900 2375 2500 3800 4750 5000 9500 11273 11875 19000 22546 23750 45092 47500 56365 90184 95000 112730 214187 225460 281825 428374 450920 563650 856748 1070935 1127300 1409125 1713496 2141870 2254600 2818250 4283740 5354675 5636500 7045625 8567480 10709350 11273000 14091250 21418700 26773375 28182500 42837400 53546750 56365000 107093500 133866875 214187000 267733750 535467500 1070935000