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3987429030 = 2325135364303
BaseRepresentation
bin1110110110101011…
…0101011010100110
3101021220001101022200
43231222311122212
531131240212110
61455400235330
7200545405344
oct35552653246
911256041280
103987429030
1117668884a2
1293346bb46
134b713c880
1429b800994
151850e06c0
hexedab56a6

3987429030 has 96 divisors (see below), whose sum is σ = 11375634816. Its totient is φ = 962986752.

The previous prime is 3987429023. The next prime is 3987429041. The reversal of 3987429030 is 309247893.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29859 + ... + 94161.

It is an arithmetic number, because the mean of its divisors is an integer number (118496196).

Almost surely, 23987429030 is an apocalyptic number.

3987429030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3987429030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5687817408).

3987429030 is an abundant number, since it is smaller than the sum of its proper divisors (7388205786).

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

3987429030 is a wasteful number, since it uses less digits than its factorization.

3987429030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64382 (or 64379 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 3987429030 is about 63146.0927532338. The cubic root of 3987429030 is about 1585.7363759488.

The spelling of 3987429030 in words is "three billion, nine hundred eighty-seven million, four hundred twenty-nine thousand, thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 53 65 78 90 106 117 130 159 195 234 265 318 390 477 530 585 689 795 954 1170 1378 1590 2067 2385 3445 4134 4770 6201 6890 10335 12402 20670 31005 62010 64303 128606 192909 321515 385818 578727 643030 835939 964545 1157454 1671878 1929090 2507817 2893635 3408059 4179695 5015634 5787270 6816118 7523451 8359390 10224177 12539085 15046902 17040295 20448354 25078170 30672531 34080590 37617255 44304767 51120885 61345062 75234510 88609534 102241770 132914301 153362655 221523835 265828602 306725310 398742903 443047670 664571505 797485806 1329143010 1993714515 3987429030