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413675080 = 235713113647
BaseRepresentation
bin11000101010000…
…010111001001000
31001211101212112021
4120222002321020
51321400100310
6105014254224
713152115540
oct3052027110
91054355467
10413675080
111a2566235
12b6657374
136791bb70
143cd24320
15264b55da
hex18a82e48

413675080 has 64 divisors (see below), whose sum is σ = 1145571840. Its totient is φ = 130920192.

The previous prime is 413675077. The next prime is 413675083. The reversal of 413675080 is 80576314.

It is an interprime number because it is at equal distance from previous prime (413675077) and next prime (413675083).

It is a super-2 number, since 2×4136750802 = 342254143626012800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (413675083) 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, 53184 + ... + 60463.

It is an arithmetic number, because the mean of its divisors is an integer number (17899560).

Almost surely, 2413675080 is an apocalyptic number.

413675080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413675080 is an abundant number, since it is smaller than the sum of its proper divisors (731896760).

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

413675080 is a wasteful number, since it uses less digits than its factorization.

413675080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113678 (or 113674 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 413675080 is about 20339.0039087464. The cubic root of 413675080 is about 745.1089611360.

The spelling of 413675080 in words is "four hundred thirteen million, six hundred seventy-five thousand, eighty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 455 520 728 910 1820 3640 113647 227294 454588 568235 795529 909176 1136470 1477411 1591058 2272940 2954822 3182116 3977645 4545880 5909644 6364232 7387055 7955290 10341877 11819288 14774110 15910580 20683754 29548220 31821160 41367508 51709385 59096440 82735016 103418770 206837540 413675080