Search a number
-
+
8074740 = 2235592281
BaseRepresentation
bin11110110011010111110100
3120012020110110
4132303113310
54031342430
6445023020
7125430342
oct36632764
916166413
108074740
114615743
122854a70
13189946b
141102992
15a977b0
hex7b35f4

8074740 has 48 divisors (see below), whose sum is σ = 23002560. Its totient is φ = 2115840.

The previous prime is 8074739. The next prime is 8074747. The reversal of 8074740 is 474708.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 8074698 and 8074707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8074747) 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, 2400 + ... + 4680.

It is an arithmetic number, because the mean of its divisors is an integer number (479220).

Almost surely, 28074740 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 8074740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11501280).

8074740 is an abundant number, since it is smaller than the sum of its proper divisors (14927820).

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

8074740 is a wasteful number, since it uses less digits than its factorization.

8074740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2352 (or 2350 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The square root of 8074740 is about 2841.6086993110. The cubic root of 8074740 is about 200.6209037314.

The spelling of 8074740 in words is "eight million, seventy-four thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 59 60 118 177 236 295 354 590 708 885 1180 1770 2281 3540 4562 6843 9124 11405 13686 22810 27372 34215 45620 68430 134579 136860 269158 403737 538316 672895 807474 1345790 1614948 2018685 2691580 4037370 8074740