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2001292104 = 233723674637
BaseRepresentation
bin111011101001001…
…0100101101001000
312011110210011122210
41313102110231020
513044312321404
6530330345120
7100410462600
oct16722245510
95143704583
102001292104
1193774a419
1247a28b1a0
1325b80a516
1414db13c00
15baa6a689
hex77494b48

2001292104 has 96 divisors (see below), whose sum is σ = 5837201280. Its totient is φ = 570116736.

The previous prime is 2001292093. The next prime is 2001292121. The reversal of 2001292104 is 4012921002.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 429274 + ... + 433910.

It is an arithmetic number, because the mean of its divisors is an integer number (60804180).

Almost surely, 22001292104 is an apocalyptic number.

2001292104 is a gapful number since it is divisible by the number (24) 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 2001292104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2918600640).

2001292104 is an abundant number, since it is smaller than the sum of its proper divisors (3835909176).

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

2001292104 is a wasteful number, since it uses less digits than its factorization.

2001292104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5027 (or 5016 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 2001292104 is about 44735.8033793962. The cubic root of 2001292104 is about 1260.1923163239.

The spelling of 2001292104 in words is "two billion, one million, two hundred ninety-two thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 367 392 588 734 1101 1176 1468 2202 2569 2936 4404 4637 5138 7707 8808 9274 10276 13911 15414 17983 18548 20552 27822 30828 32459 35966 37096 53949 55644 61656 64918 71932 97377 107898 111288 129836 143864 194754 215796 227213 259672 389508 431592 454426 681639 779016 908852 1363278 1701779 1817704 2726556 3403558 5105337 5453112 6807116 10210674 11912453 13614232 20421348 23824906 35737359 40842696 47649812 71474718 83387171 95299624 142949436 166774342 250161513 285898872 333548684 500323026 667097368 1000646052 2001292104