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1070160480 = 25325743167
BaseRepresentation
bin111111110010010…
…101101001100000
32202120200210012100
4333302111221200
54142430113410
6254105130400
735343133254
oct7762255140
92676623170
101070160480
114aa094454
1225a489a00
13140933a6c
14a21b2264
1563e3e8c0
hex3fc95a60

1070160480 has 72 divisors (see below), whose sum is σ = 3651927552. Its totient is φ = 285375744.

The previous prime is 1070160463. The next prime is 1070160601. The reversal of 1070160480 is 840610701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×10701604802 = 2290486905907660800, 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 11 ways as a sum of consecutive naturals, for example, 370144 + ... + 373023.

It is an arithmetic number, because the mean of its divisors is an integer number (50721216).

Almost surely, 21070160480 is an apocalyptic number.

1070160480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1070160480 is an abundant number, since it is smaller than the sum of its proper divisors (2581767072).

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

1070160480 is a wasteful number, since it uses less digits than its factorization.

1070160480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743188 (or 743177 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1070160480 is about 32713.3073839989. The cubic root of 1070160480 is about 1022.8602532969.

The spelling of 1070160480 in words is "one billion, seventy million, one hundred sixty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 743167 1486334 2229501 2972668 3715835 4459002 5945336 6688503 7431670 8918004 11147505 11890672 13377006 14863340 17836008 22295010 23781344 26754012 29726680 33442515 35672016 44590020 53508024 59453360 66885030 71344032 89180040 107016048 118906720 133770060 178360080 214032096 267540120 356720160 535080240 1070160480