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1201470720 = 28353110093
BaseRepresentation
bin100011110011100…
…1111110100000000
310002201210000222120
41013213033310000
54430034030340
6315115404240
741526222042
oct10747176400
93081700876
101201470720
1156722080a
12296453680
13161bbaa28
14b57d3a92
157072b4d0
hex479cfd00

1201470720 has 144 divisors (see below), whose sum is σ = 3961370112. Its totient is φ = 310026240.

The previous prime is 1201470709. The next prime is 1201470761. The reversal of 1201470720 is 270741021.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113994 + ... + 124086.

Almost surely, 21201470720 is an apocalyptic number.

1201470720 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 1201470720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1980685056).

1201470720 is an abundant number, since it is smaller than the sum of its proper divisors (2759899392).

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

1201470720 is a wasteful number, since it uses less digits than its factorization.

1201470720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10148 (or 10134 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 1201470720 is about 34662.2376657942. The cubic root of 1201470720 is about 1063.0925233936.

The spelling of 1201470720 in words is "one billion, two hundred one million, four hundred seventy thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 128 155 160 186 192 240 248 256 310 320 372 384 465 480 496 620 640 744 768 930 960 992 1240 1280 1488 1860 1920 1984 2480 2976 3720 3840 3968 4960 5952 7440 7936 9920 10093 11904 14880 19840 20186 23808 29760 30279 39680 40372 50465 59520 60558 80744 100930 119040 121116 151395 161488 201860 242232 302790 312883 322976 403720 484464 605580 625766 645952 807440 938649 968928 1211160 1251532 1291904 1564415 1614880 1877298 1937856 2422320 2503064 2583808 3128830 3229760 3754596 3875712 4693245 4844640 5006128 6257660 6459520 7509192 7751424 9386490 9689280 10012256 12515320 12919040 15018384 18772980 19378560 20024512 25030640 30036768 37545960 38757120 40049024 50061280 60073536 75091920 80098048 100122560 120147072 150183840 200245120 240294144 300367680 400490240 600735360 1201470720