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1270434690 = 232579412143
BaseRepresentation
bin100101110111001…
…0100101110000010
310021112112202202200
41023232110232002
510100212402230
6330021454030
743324342140
oct11356245602
93245482680
101270434690
115a2144428
122b5571316
13173285b05
14c0a26590
1576800160
hex4bb94b82

1270434690 has 96 divisors (see below), whose sum is σ = 3780781056. Its totient is φ = 289941120.

The previous prime is 1270434673. The next prime is 1270434707. The reversal of 1270434690 is 964340721.

It is an interprime number because it is at equal distance from previous prime (1270434673) and next prime (1270434707).

It is a super-2 number, since 2×12704346902 = 3228008603110792200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 591759 + ... + 593901.

It is an arithmetic number, because the mean of its divisors is an integer number (39383136).

Almost surely, 21270434690 is an apocalyptic number.

1270434690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1270434690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1890390528).

1270434690 is an abundant number, since it is smaller than the sum of its proper divisors (2510346366).

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

1270434690 is a wasteful number, since it uses less digits than its factorization.

1270434690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3104 (or 3101 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 1270434690 is about 35643.1576883979. The cubic root of 1270434690 is about 1083.0556724833.

The spelling of 1270434690 in words is "one billion, two hundred seventy million, four hundred thirty-four thousand, six hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 941 1882 2143 2823 4286 4705 5646 6429 6587 8469 9410 10715 12858 13174 14115 15001 16938 19287 19761 21430 28230 30002 32145 32935 38574 39522 42345 45003 59283 64290 65870 75005 84690 90006 96435 98805 118566 135009 150010 192870 197610 225015 270018 296415 450030 592830 675045 1350090 2016563 4033126 6049689 10082815 12099378 14115941 18149067 20165630 28231882 30248445 36298134 42347823 60496890 70579705 84695646 90745335 127043469 141159410 181490670 211739115 254086938 423478230 635217345 1270434690