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1270045520 = 245174122777
BaseRepresentation
bin100101110110011…
…0101101101010000
310021111210222220222
41023230311231100
510100112424040
6330005252212
743321131422
oct11354655520
93244728828
101270045520
115a19a8aa7
122b5404068
1317317a933
14c0964812
1576774bb5
hex4bb35b50

1270045520 has 80 divisors (see below), whose sum is σ = 3202951248. Its totient is φ = 466452480.

The previous prime is 1270045507. The next prime is 1270045529. The reversal of 1270045520 is 255400721.

It can be written as a sum of positive squares in 8 ways, for example, as 976144 + 1269069376 = 988^2 + 35624^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×12700455202 = 3226031245744140800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1270045520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1270045529) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44372 + ... + 67148.

Almost surely, 21270045520 is an apocalyptic number.

1270045520 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 1270045520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1601475624).

1270045520 is an abundant number, since it is smaller than the sum of its proper divisors (1932905728).

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

1270045520 is a wasteful number, since it uses less digits than its factorization.

1270045520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22848 (or 22842 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 26.

The square root of 1270045520 is about 35637.6980176891. The cubic root of 1270045520 is about 1082.9450710162.

The spelling of 1270045520 in words is "one billion, two hundred seventy million, forty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 41 68 80 82 85 136 164 170 205 272 328 340 410 656 680 697 820 1360 1394 1640 2788 3280 3485 5576 6970 11152 13940 22777 27880 45554 55760 91108 113885 182216 227770 364432 387209 455540 774418 911080 933857 1548836 1822160 1867714 1936045 3097672 3735428 3872090 4669285 6195344 7470856 7744180 9338570 14941712 15488360 15875569 18677140 30976720 31751138 37354280 63502276 74708560 79377845 127004552 158755690 254009104 317511380 635022760 1270045520