Search a number
-
+
3987214080 = 28351038337
BaseRepresentation
bin1110110110101000…
…0000111100000000
3101021212122110110120
43231222000330000
531131211322310
61455351500240
7200543521563
oct35552007400
911255573416
103987214080
111766750a53
12933387680
134b7095a95
1429b7864da
1518509bb70
hexeda80f00

3987214080 has 72 divisors (see below), whose sum is σ = 12734177232. Its totient is φ = 1063256064.

The previous prime is 3987214073. The next prime is 3987214093. The reversal of 3987214080 is 804127893.

It is a super-2 number, since 2×39872140802 = 31795752239500492800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 515329 + ... + 523008.

Almost surely, 23987214080 is an apocalyptic number.

3987214080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3987214080 is an abundant number, since it is smaller than the sum of its proper divisors (8746963152).

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

3987214080 is a wasteful number, since it uses less digits than its factorization.

3987214080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038361 (or 1038347 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 3987214080 is about 63144.3907247508. The cubic root of 3987214080 is about 1585.7078813845.

The spelling of 3987214080 in words is "three billion, nine hundred eighty-seven million, two hundred fourteen thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 1038337 2076674 3115011 4153348 5191685 6230022 8306696 10383370 12460044 15575055 16613392 20766740 24920088 31150110 33226784 41533480 49840176 62300220 66453568 83066960 99680352 124600440 132907136 166133920 199360704 249200880 265814272 332267840 398721408 498401760 664535680 797442816 996803520 1329071360 1993607040 3987214080