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412120824 = 23388319447
BaseRepresentation
bin11000100100000…
…111011011111000
31001201110220111020
4120210013123320
51321000331244
6104521102440
713132653303
oct3044073370
91051426436
10412120824
111a16a4525
12b6027a20
13674c659b
143ca3bb3a
15262a9d19
hex189076f8

412120824 has 32 divisors (see below), whose sum is σ = 1031521920. Its totient is φ = 137210976.

The previous prime is 412120799. The next prime is 412120853. The reversal of 412120824 is 428021214.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 412120794 and 412120803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11469 + ... + 30915.

It is an arithmetic number, because the mean of its divisors is an integer number (32235060).

Almost surely, 2412120824 is an apocalyptic number.

It is an amenable number.

412120824 is an abundant number, since it is smaller than the sum of its proper divisors (619401096).

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

412120824 is a wasteful number, since it uses less digits than its factorization.

412120824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20339 (or 20335 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 412120824 is about 20300.7591976261. The cubic root of 412120824 is about 744.1746179338.

The spelling of 412120824 in words is "four hundred twelve million, one hundred twenty thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 883 1766 2649 3532 5298 7064 10596 19447 21192 38894 58341 77788 116682 155576 233364 466728 17171701 34343402 51515103 68686804 103030206 137373608 206060412 412120824