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7690896 = 243319937
BaseRepresentation
bin11101010101101010010000
3112110201221000
4131111222100
53432102041
6432502000
7122241303
oct35255220
915421830
107690896
114383314
1226aa900
131793835
141042b3a
15a1dbb6
hex755a90

7690896 has 80 divisors (see below), whose sum is σ = 23262400. Its totient is φ = 2426112.

The previous prime is 7690873. The next prime is 7690897. The reversal of 7690896 is 6980967.

7690896 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7690897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7740 + ... + 8676.

It is an arithmetic number, because the mean of its divisors is an integer number (290780).

Almost surely, 27690896 is an apocalyptic number.

7690896 is a gapful number since it is divisible by the number (76) 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 7690896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11631200).

7690896 is an abundant number, since it is smaller than the sum of its proper divisors (15571504).

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

7690896 is a wasteful number, since it uses less digits than its factorization.

7690896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 7690896 is about 2773.2464729987. The cubic root of 7690896 is about 197.3902268792.

It can be divided in two parts, 76 and 90896, that multiplied together give a palindrome (6908096).

The spelling of 7690896 in words is "seven million, six hundred ninety thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 114 144 152 171 216 228 304 342 432 456 513 684 912 937 1026 1368 1874 2052 2736 2811 3748 4104 5622 7496 8208 8433 11244 14992 16866 17803 22488 25299 33732 35606 44976 50598 53409 67464 71212 101196 106818 134928 142424 160227 202392 213636 284848 320454 404784 427272 480681 640908 854544 961362 1281816 1922724 2563632 3845448 7690896