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3987208720 = 2451143910321
BaseRepresentation
bin1110110110100111…
…1111101000010000
3101021212122012010001
43231221333220100
531131211134340
61455351415344
7200543500135
oct35551775020
911255565101
103987208720
111766747a20
12933384554
134b7093501
1429b78458c
1518509a29a
hexeda7fa10

3987208720 has 80 divisors (see below), whose sum is σ = 10137029760. Its totient is φ = 1446451200.

The previous prime is 3987208717. The next prime is 3987208739. The reversal of 3987208720 is 278027893.

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

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, 381160 + ... + 391480.

It is an arithmetic number, because the mean of its divisors is an integer number (126712872).

Almost surely, 23987208720 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 3987208720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5068514880).

3987208720 is an abundant number, since it is smaller than the sum of its proper divisors (6149821040).

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

3987208720 is a wasteful number, since it uses less digits than its factorization.

3987208720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10784 (or 10778 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 46.

The square root of 3987208720 is about 63144.3482823285. The cubic root of 3987208720 is about 1585.7071708301.

The spelling of 3987208720 in words is "three billion, nine hundred eighty-seven million, two hundred eight thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 439 440 878 880 1756 2195 3512 4390 4829 7024 8780 9658 10321 17560 19316 20642 24145 35120 38632 41284 48290 51605 77264 82568 96580 103210 113531 165136 193160 206420 227062 386320 412840 454124 567655 825680 908248 1135310 1816496 2270620 4530919 4541240 9061838 9082480 18123676 22654595 36247352 45309190 49840109 72494704 90618380 99680218 181236760 199360436 249200545 362473520 398720872 498401090 797441744 996802180 1993604360 3987208720