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1201371520 = 27519313187
BaseRepresentation
bin100011110011011…
…0111100110000000
310002201120222220111
41013212313212000
54430022342040
6315113321104
741525326606
oct10746674600
93081528814
101201371520
11567163228
12296406194
13161b8482b
14b57a9876
157070bdea
hex479b7980

1201371520 has 128 divisors (see below), whose sum is σ = 3121689600. Its totient is φ = 440432640.

The previous prime is 1201371491. The next prime is 1201371527. The reversal of 1201371520 is 251731021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×12013715202 = 2886587058134220800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1201371491 and 1201371500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201371527) 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, 375367 + ... + 378553.

It is an arithmetic number, because the mean of its divisors is an integer number (24388200).

Almost surely, 21201371520 is an apocalyptic number.

1201371520 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 1201371520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1560844800).

1201371520 is an abundant number, since it is smaller than the sum of its proper divisors (1920318080).

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

1201371520 is a wasteful number, since it uses less digits than its factorization.

1201371520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3256 (or 3244 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 1201371520 is about 34660.8066842075. The cubic root of 1201371520 is about 1063.0632643421.

The spelling of 1201371520 in words is "one billion, two hundred one million, three hundred seventy-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 31 32 38 40 62 64 76 80 95 124 128 152 155 160 190 248 304 310 320 380 496 589 608 620 640 760 992 1178 1216 1240 1520 1984 2356 2432 2480 2945 3040 3187 3968 4712 4960 5890 6080 6374 9424 9920 11780 12160 12748 15935 18848 19840 23560 25496 31870 37696 47120 50992 60553 63740 75392 94240 98797 101984 121106 127480 188480 197594 203968 242212 254960 302765 376960 395188 407936 484424 493985 509920 605530 790376 968848 987970 1019840 1211060 1580752 1877143 1937696 1975940 2039680 2422120 3161504 3754286 3875392 3951880 4844240 6323008 7508572 7750784 7903760 9385715 9688480 12646016 15017144 15807520 18771430 19376960 30034288 31615040 37542860 38753920 60068576 63230080 75085720 120137152 150171440 240274304 300342880 600685760 1201371520