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3987480 = 2335747101
BaseRepresentation
bin1111001101100000011000
321111120210110
433031200120
52010044410
6221244320
745615210
oct17154030
97446713
103987480
112283942
1214036a0
13a97c73
1475b240
1553b720
hex3cd818

3987480 has 128 divisors (see below), whose sum is σ = 14100480. Its totient is φ = 883200.

The previous prime is 3987449. The next prime is 3987481. The reversal of 3987480 is 847893.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3987481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39430 + ... + 39530.

It is an arithmetic number, because the mean of its divisors is an integer number (110160).

Almost surely, 23987480 is an apocalyptic number.

3987480 is a gapful number since it is divisible by the number (30) 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 3987480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7050240).

3987480 is an abundant number, since it is smaller than the sum of its proper divisors (10113000).

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

3987480 is a wasteful number, since it uses less digits than its factorization.

3987480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 3987480 is about 1996.8675469344. The cubic root of 3987480 is about 158.5743132570.

The spelling of 3987480 in words is "three million, nine hundred eighty-seven thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 47 56 60 70 84 94 101 105 120 140 141 168 188 202 210 235 280 282 303 329 376 404 420 470 505 564 606 658 705 707 808 840 940 987 1010 1128 1212 1316 1410 1414 1515 1645 1880 1974 2020 2121 2424 2632 2820 2828 3030 3290 3535 3948 4040 4242 4747 4935 5640 5656 6060 6580 7070 7896 8484 9494 9870 10605 12120 13160 14140 14241 16968 18988 19740 21210 23735 28280 28482 33229 37976 39480 42420 47470 56964 66458 71205 84840 94940 99687 113928 132916 142410 166145 189880 199374 265832 284820 332290 398748 498435 569640 664580 797496 996870 1329160 1993740 3987480