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1201609080 = 23345752981
BaseRepresentation
bin100011110011111…
…0001100101111000
310002202001001210000
41013213301211320
54430102442310
6315122353000
741530336320
oct10747614570
93082031700
101201609080
11567305761
122964bb760
13161c389b9
14b582c280
15707574c0
hex479f1978

1201609080 has 160 divisors (see below), whose sum is σ = 4615791840. Its totient is φ = 274648320.

The previous prime is 1201609069. The next prime is 1201609081. The reversal of 1201609080 is 809061021.

It is a super-2 number, since 2×12016090802 = 2887728762276892800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201609081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3811 + ... + 49170.

It is an arithmetic number, because the mean of its divisors is an integer number (28848699).

Almost surely, 21201609080 is an apocalyptic number.

1201609080 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 1201609080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2307895920).

1201609080 is an abundant number, since it is smaller than the sum of its proper divisors (3414182760).

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

1201609080 is a wasteful number, since it uses less digits than its factorization.

1201609080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53011 (or 52998 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 1201609080 is about 34664.2334402479. The cubic root of 1201609080 is about 1063.1333300020.

The spelling of 1201609080 in words is "one billion, two hundred one million, six hundred nine thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 81 84 90 105 108 120 126 135 140 162 168 180 189 210 216 252 270 280 315 324 360 378 405 420 504 540 567 630 648 756 810 840 945 1080 1134 1260 1512 1620 1890 2268 2520 2835 3240 3780 4536 5670 7560 11340 22680 52981 105962 158943 211924 264905 317886 370867 423848 476829 529810 635772 741734 794715 953658 1059620 1112601 1271544 1430487 1483468 1589430 1854335 1907316 2119240 2225202 2384145 2860974 2966936 3178860 3337803 3708670 3814632 4291461 4450404 4768290 5563005 5721948 6357720 6675606 7152435 7417340 8582922 8900808 9536580 10013409 11126010 11443896 13351212 14304870 14834680 16689015 17165844 19073160 20026818 21457305 22252020 26702424 28609740 30040227 33378030 34331688 40053636 42914610 44504040 50067045 57219480 60080454 66756060 80107272 85829220 100134090 120160908 133512120 150201135 171658440 200268180 240321816 300402270 400536360 600804540 1201609080