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1002023120 = 24576612707
BaseRepresentation
bin111011101110011…
…010100011010000
32120211111001022102
4323232122203100
54023004214440
6243232455532
733555025130
oct7356324320
92524431272
101002023120
1147468588a
1223b6aa5a8
1312c797cb7
1497116ac0
155ce80b15
hex3bb9a8d0

1002023120 has 80 divisors (see below), whose sum is σ = 2667531648. Its totient is φ = 342904320.

The previous prime is 1002023119. The next prime is 1002023147. The reversal of 1002023120 is 213202001.

It is a happy number.

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

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, 368807 + ... + 371513.

Almost surely, 21002023120 is an apocalyptic number.

1002023120 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 1002023120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1333765824).

1002023120 is an abundant number, since it is smaller than the sum of its proper divisors (1665508528).

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

1002023120 is a wasteful number, since it uses less digits than its factorization.

1002023120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3388 (or 3382 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 1002023120 is about 31654.7487748679. The cubic root of 1002023120 is about 1000.6739190644.

Adding to 1002023120 its reverse (213202001), we get a palindrome (1215225121).

The spelling of 1002023120 in words is "one billion, two million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 661 1322 2644 2707 3305 4627 5288 5414 6610 9254 10576 10828 13220 13535 18508 18949 21656 23135 26440 27070 37016 37898 43312 46270 52880 54140 74032 75796 92540 94745 108280 151592 185080 189490 216560 303184 370160 378980 757960 1515920 1789327 3578654 7157308 8946635 12525289 14314616 17893270 25050578 28629232 35786540 50101156 62626445 71573080 100202312 125252890 143146160 200404624 250505780 501011560 1002023120