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4412980 = 22511131543
BaseRepresentation
bin10000110101011000110100
322022012110201
4100311120310
52112203410
6234330244
752336555
oct20653064
98265421
104412980
1125445a0
121589984
13bb6840
1482c32c
155c283a
hex435634

4412980 has 48 divisors (see below), whose sum is σ = 10894464. Its totient is φ = 1480320.

The previous prime is 4412977. The next prime is 4412981. The reversal of 4412980 is 892144.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4412981) 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, 2089 + ... + 3631.

It is an arithmetic number, because the mean of its divisors is an integer number (226968).

Almost surely, 24412980 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 4412980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5447232).

4412980 is an abundant number, since it is smaller than the sum of its proper divisors (6481484).

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

4412980 is a wasteful number, since it uses less digits than its factorization.

4412980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1576 (or 1574 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 4412980 is about 2100.7094039871. The cubic root of 4412980 is about 164.0252291149.

The spelling of 4412980 in words is "four million, four hundred twelve thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 572 715 1430 1543 2860 3086 6172 7715 15430 16973 20059 30860 33946 40118 67892 80236 84865 100295 169730 200590 220649 339460 401180 441298 882596 1103245 2206490 4412980