Search a number
-
+
413423760 = 24351722599
BaseRepresentation
bin11000101001000…
…101100010010000
31001210221002210010
4120221011202100
51321314030020
6105005034520
713150021041
oct3051054220
91053832703
10413423760
111a2404432
12b6555a40
1367861659
143cc9a8c8
1526465de0
hex18a45890

413423760 has 40 divisors (see below), whose sum is σ = 1281614400. Its totient is φ = 110246272.

The previous prime is 413423753. The next prime is 413423767. The reversal of 413423760 is 67324314.

It is an interprime number because it is at equal distance from previous prime (413423753) and next prime (413423767).

It is a tau number, because it is divible by the number of its divisors (40).

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

It is not an unprimeable number, because it can be changed into a prime (413423767) 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, 861060 + ... + 861539.

It is an arithmetic number, because the mean of its divisors is an integer number (32040360).

Almost surely, 2413423760 is an apocalyptic number.

413423760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413423760 is an abundant number, since it is smaller than the sum of its proper divisors (868190640).

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

413423760 is a wasteful number, since it uses less digits than its factorization.

413423760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1722615 (or 1722609 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 413423760 is about 20332.8246930917. The cubic root of 413423760 is about 744.9580385657.

The spelling of 413423760 in words is "four hundred thirteen million, four hundred twenty-three thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1722599 3445198 5167797 6890396 8612995 10335594 13780792 17225990 20671188 25838985 27561584 34451980 41342376 51677970 68903960 82684752 103355940 137807920 206711880 413423760