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413930720 = 2557369581
BaseRepresentation
bin11000101011000…
…001010011100000
31001211212212012102
4120223001103200
51321431240340
6105023545532
713154232050
oct3053012340
91054785172
10413930720
111a2720305
12b675b2a8
13679ab328
143cd8d560
1526516215
hex18ac14e0

413930720 has 48 divisors (see below), whose sum is σ = 1117615968. Its totient is φ = 141918720.

The previous prime is 413930707. The next prime is 413930743. The reversal of 413930720 is 27039314.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 183671 + ... + 185910.

It is an arithmetic number, because the mean of its divisors is an integer number (23283666).

Almost surely, 2413930720 is an apocalyptic number.

413930720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413930720 is an abundant number, since it is smaller than the sum of its proper divisors (703685248).

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

413930720 is a wasteful number, since it uses less digits than its factorization.

413930720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369603 (or 369595 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 29.

The square root of 413930720 is about 20345.2874150256. The cubic root of 413930720 is about 745.2624152521.

The spelling of 413930720 in words is "four hundred thirteen million, nine hundred thirty thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 369581 739162 1478324 1847905 2587067 2956648 3695810 5174134 5913296 7391620 10348268 11826592 12935335 14783240 20696536 25870670 29566480 41393072 51741340 59132960 82786144 103482680 206965360 413930720