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4087040 = 28531103
BaseRepresentation
bin1111100101110100000000
321200122100212
433211310000
52021241130
6223333252
746511366
oct17456400
97618325
104087040
112341721
121451228
13b01389
14785636
1555ae95
hex3e5d00

4087040 has 72 divisors (see below), whose sum is σ = 10203648. Its totient is φ = 1566720.

The previous prime is 4087037. The next prime is 4087093. The reversal of 4087040 is 407804.

4087040 is nontrivially palindromic in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 4086997 and 4087015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39629 + ... + 39731.

Almost surely, 24087040 is an apocalyptic number.

4087040 is a gapful number since it is divisible by the number (40) 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 4087040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5101824).

4087040 is an abundant number, since it is smaller than the sum of its proper divisors (6116608).

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

4087040 is a wasteful number, since it uses less digits than its factorization.

4087040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 4087040 is about 2021.6428962604. The cubic root of 4087040 is about 159.8832481604.

The spelling of 4087040 in words is "four million, eighty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 103 124 128 155 160 206 248 256 310 320 412 496 515 620 640 824 992 1030 1240 1280 1648 1984 2060 2480 3193 3296 3968 4120 4960 6386 6592 7936 8240 9920 12772 13184 15965 16480 19840 25544 26368 31930 32960 39680 51088 63860 65920 102176 127720 131840 204352 255440 408704 510880 817408 1021760 2043520 4087040