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2001910368 = 253293592003
BaseRepresentation
bin111011101010010…
…1011101001100000
312011111221120202110
41313110223221200
513044442112433
6530351515320
7100415646243
oct16724535140
95144846673
102001910368
11938031987
1247a528b40
1325b995a63
1414dc3525a
15bab3d963
hex7752ba60

2001910368 has 96 divisors (see below), whose sum is σ = 5454086400. Its totient is φ = 642177536.

The previous prime is 2001910367. The next prime is 2001910439. The reversal of 2001910368 is 8630191002.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001910367) 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, 998455 + ... + 1000457.

It is an arithmetic number, because the mean of its divisors is an integer number (56813400).

Almost surely, 22001910368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001910368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2727043200).

2001910368 is an abundant number, since it is smaller than the sum of its proper divisors (3452176032).

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

2001910368 is a wasteful number, since it uses less digits than its factorization.

2001910368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2404 (or 2396 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 2001910368 is about 44742.7130156409. The cubic root of 2001910368 is about 1260.3220743806.

The spelling of 2001910368 in words is "two billion, one million, nine hundred ten thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 359 464 696 718 928 1077 1392 1436 2003 2154 2784 2872 4006 4308 5744 6009 8012 8616 10411 11488 12018 16024 17232 20822 24036 31233 32048 34464 41644 48072 58087 62466 64096 83288 96144 116174 124932 166576 174261 192288 232348 249864 333152 348522 464696 499728 697044 719077 929392 999456 1394088 1438154 1858784 2157231 2788176 2876308 4314462 5576352 5752616 8628924 11505232 17257848 20853233 23010464 34515696 41706466 62559699 69031392 83412932 125119398 166825864 250238796 333651728 500477592 667303456 1000955184 2001910368