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7896940 = 2253147271
BaseRepresentation
bin11110000111111101101100
3112212012120021
4132013331230
54010200230
6441131524
7124060102
oct36077554
915765507
107896940
1145040a7
122789ba4
13183655c
141097c72
15a5ec7a
hex787f6c

7896940 has 48 divisors (see below), whose sum is σ = 17547264. Its totient is φ = 2980800.

The previous prime is 7896937. The next prime is 7896949. The reversal of 7896940 is 496987.

It is a super-2 number, since 2×78969402 = 124723322727200, which contains 22 as substring.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (7896949) 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, 29005 + ... + 29275.

It is an arithmetic number, because the mean of its divisors is an integer number (365568).

Almost surely, 27896940 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 7896940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8773632).

7896940 is an abundant number, since it is smaller than the sum of its proper divisors (9650324).

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

7896940 is a wasteful number, since it uses less digits than its factorization.

7896940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 43.

The square root of 7896940 is about 2810.1494622173. The cubic root of 7896940 is about 199.1374520697.

It can be divided in two parts, 7896 and 940, that added together give a square (8836 = 942).

The spelling of 7896940 in words is "seven million, eight hundred ninety-six thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 31 47 62 94 124 155 188 235 271 310 470 542 620 940 1084 1355 1457 2710 2914 5420 5828 7285 8401 12737 14570 16802 25474 29140 33604 42005 50948 63685 84010 127370 168020 254740 394847 789694 1579388 1974235 3948470 7896940