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8074140 = 2235373637
BaseRepresentation
bin11110110011001110011100
3120012012122020
4132303032130
54031333030
6445020140
7125425524
oct36631634
916165566
108074140
114615248
122854650
1318990c9
141102684
15a97510
hex7b339c

8074140 has 48 divisors (see below), whose sum is σ = 23224992. Its totient is φ = 2094336.

The previous prime is 8074139. The next prime is 8074147. The reversal of 8074140 is 414708.

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 8074140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8074147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 402 + ... + 4038.

It is an arithmetic number, because the mean of its divisors is an integer number (483854).

Almost surely, 28074140 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 8074140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11612496).

8074140 is an abundant number, since it is smaller than the sum of its proper divisors (15150852).

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

8074140 is a wasteful number, since it uses less digits than its factorization.

8074140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3686 (or 3684 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 8074140 is about 2841.5031233486. The cubic root of 8074140 is about 200.6159345095.

Adding to 8074140 its reverse (414708), we get a palindrome (8488848).

The spelling of 8074140 in words is "eight million, seventy-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 3637 7274 10911 14548 18185 21822 36370 43644 54555 72740 109110 134569 218220 269138 403707 538276 672845 807414 1345690 1614828 2018535 2691380 4037070 8074140