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1041002320 = 245311093851
BaseRepresentation
bin111110000011000…
…110111101010000
32200112211101201111
4332003012331100
54112444033240
6251144143104
734540242121
oct7603067520
92615741644
101041002320
114946894a6
12250767a94
13137895007
149c382048
15615d01ea
hex3e0c6f50

1041002320 has 80 divisors (see below), whose sum is σ = 2521981440. Its totient is φ = 399168000.

The previous prime is 1041002311. The next prime is 1041002321. The reversal of 1041002320 is 232001401.

1041002320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1041002320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1041002321) 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, 268395 + ... + 272245.

It is an arithmetic number, because the mean of its divisors is an integer number (31524768).

Almost surely, 21041002320 is an apocalyptic number.

1041002320 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 1041002320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260990720).

1041002320 is an abundant number, since it is smaller than the sum of its proper divisors (1480979120).

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

1041002320 is a wasteful number, since it uses less digits than its factorization.

1041002320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4004 (or 3998 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 1041002320 is about 32264.5675625755. The cubic root of 1041002320 is about 1013.4847832654.

Adding to 1041002320 its reverse (232001401), we get a palindrome (1273003721).

The spelling of 1041002320 in words is "one billion, forty-one million, two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 109 124 155 218 248 310 436 496 545 620 872 1090 1240 1744 2180 2480 3379 3851 4360 6758 7702 8720 13516 15404 16895 19255 27032 30808 33790 38510 54064 61616 67580 77020 119381 135160 154040 238762 270320 308080 419759 477524 596905 839518 955048 1193810 1679036 1910096 2098795 2387620 3358072 4197590 4775240 6716144 8395180 9550480 13012529 16790360 26025058 33580720 52050116 65062645 104100232 130125290 208200464 260250580 520501160 1041002320