Search a number
-
+
3987872680 = 2351131728591
BaseRepresentation
bin1110110110110010…
…0001101110101000
3101021220212220220011
43231230201232220
531131343411210
61455413541304
7200552233651
oct35554415650
911256786804
103987872680
111767060850
12933644834
134b726679c
1429b8b8528
1518517bd8a
hexedb21ba8

3987872680 has 64 divisors (see below), whose sum is σ = 9819636480. Its totient is φ = 1445510400.

The previous prime is 3987872671. The next prime is 3987872683. The reversal of 3987872680 is 862787893.

It is a super-3 number, since 3×39878726803 (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (3987872683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125185 + ... + 153775.

It is an arithmetic number, because the mean of its divisors is an integer number (153431820).

Almost surely, 23987872680 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 3987872680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4909818240).

3987872680 is an abundant number, since it is smaller than the sum of its proper divisors (5831763800).

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

3987872680 is a wasteful number, since it uses less digits than its factorization.

3987872680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28930 (or 28926 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 58.

The square root of 3987872680 is about 63149.6055411275. The cubic root of 3987872680 is about 1585.7951845904.

The spelling of 3987872680 in words is "three billion, nine hundred eighty-seven million, eight hundred seventy-two thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 317 440 634 1268 1585 2536 3170 3487 6340 6974 12680 13948 17435 27896 28591 34870 57182 69740 114364 139480 142955 228728 285910 314501 571820 629002 1143640 1258004 1572505 2516008 3145010 6290020 9063347 12580040 18126694 36253388 45316735 72506776 90633470 99696817 181266940 199393634 362533880 398787268 498484085 797574536 996968170 1993936340 3987872680