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1002441120 = 25352088419
BaseRepresentation
bin111011110000000…
…000100110100000
32120212021021200220
4323300000212200
54023111103440
6243245443040
733561415602
oct7360004640
92525237626
101002441120
1147494093a
1223b870480
1312c8b3335
14971c5172
155d0148d0
hex3bc009a0

1002441120 has 48 divisors (see below), whose sum is σ = 3157691040. Its totient is φ = 267317504.

The previous prime is 1002441109. The next prime is 1002441151. The reversal of 1002441120 is 211442001.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1002441120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1043730 + ... + 1044689.

It is an arithmetic number, because the mean of its divisors is an integer number (65785230).

Almost surely, 21002441120 is an apocalyptic number.

1002441120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002441120 is an abundant number, since it is smaller than the sum of its proper divisors (2155249920).

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

1002441120 is a wasteful number, since it uses less digits than its factorization.

1002441120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2088437 (or 2088429 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1002441120 is about 31661.3505713196. The cubic root of 1002441120 is about 1000.8130454446.

Adding to 1002441120 its reverse (211442001), we get a palindrome (1213883121).

The spelling of 1002441120 in words is "one billion, two million, four hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 2088419 4176838 6265257 8353676 10442095 12530514 16707352 20884190 25061028 31326285 33414704 41768380 50122056 62652570 66829408 83536760 100244112 125305140 167073520 200488224 250610280 334147040 501220560 1002441120