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1274480640 = 21132513829
BaseRepresentation
bin100101111110111…
…0000100000000000
310021211011022202200
41023331300200000
510102231340030
6330244313200
743403622666
oct11375604000
93254138680
101274480640
115a4458194
122b69a2800
13174071574
14c139ac36
1576d4dd60
hex4bf70800

1274480640 has 144 divisors (see below), whose sum is σ = 4417440300. Its totient is φ = 339836928.

The previous prime is 1274480629. The next prime is 1274480659. The reversal of 1274480640 is 460844721.

1274480640 is a `hidden beast` number, since 1 + 2 + 7 + 4 + 4 + 8 + 0 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1187767296 + 86713344 = 34464^2 + 9312^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1274480595 and 1274480604.

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, 85246 + ... + 99074.

Almost surely, 21274480640 is an apocalyptic number.

1274480640 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 1274480640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2208720150).

1274480640 is an abundant number, since it is smaller than the sum of its proper divisors (3142959660).

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

1274480640 is a wasteful number, since it uses less digits than its factorization.

1274480640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13862 (or 13839 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 1274480640 is about 35699.8689073223. The cubic root of 1274480640 is about 1084.2041889650.

The spelling of 1274480640 in words is "one billion, two hundred seventy-four million, four hundred eighty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1920 2048 2304 2560 2880 3072 3840 4608 5120 5760 6144 7680 9216 10240 11520 13829 15360 18432 23040 27658 30720 41487 46080 55316 69145 82974 92160 110632 124461 138290 165948 207435 221264 248922 276580 331896 414870 442528 497844 553160 622305 663792 829740 885056 995688 1106320 1244610 1327584 1659480 1770112 1991376 2212640 2489220 2655168 3318960 3540224 3982752 4425280 4978440 5310336 6637920 7080448 7965504 8850560 9956880 10620672 13275840 14160896 15931008 17701120 19913760 21241344 26551680 28321792 31862016 35402240 39827520 42482688 53103360 63724032 70804480 79655040 84965376 106206720 127448064 141608960 159310080 212413440 254896128 318620160 424826880 637240320 1274480640