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3940480 = 27547131
BaseRepresentation
bin1111000010000010000000
321102012022201
433002002000
52002043410
6220242544
745331165
oct17020200
97365281
103940480
1122515a5
1213a0454
13a7c75b
1474806c
1552c83a
hex3c2080

3940480 has 64 divisors (see below), whose sum is σ = 9694080. Its totient is φ = 1530880.

The previous prime is 3940457. The next prime is 3940483. The reversal of 3940480 is 840493.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (3940483) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30015 + ... + 30145.

It is an arithmetic number, because the mean of its divisors is an integer number (151470).

Almost surely, 23940480 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 3940480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4847040).

3940480 is an abundant number, since it is smaller than the sum of its proper divisors (5753600).

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

3940480 is a wasteful number, since it uses less digits than its factorization.

3940480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 3940480 is about 1985.0642306988. The cubic root of 3940480 is about 157.9488164072.

The spelling of 3940480 in words is "three million, nine hundred forty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 64 80 94 128 131 160 188 235 262 320 376 470 524 640 655 752 940 1048 1310 1504 1880 2096 2620 3008 3760 4192 5240 6016 6157 7520 8384 10480 12314 15040 16768 20960 24628 30080 30785 41920 49256 61570 83840 98512 123140 197024 246280 394048 492560 788096 985120 1970240 3940480