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405004104 = 23333116029
BaseRepresentation
bin11000001000111…
…101111101001000
31001020002100012000
4120020331331020
51312140112404
6104104351000
713015322661
oct3010757510
91036070160
10405004104
1119868363a
12b3775460
1365ba41cb
143bb08368
1525851339
hex1823df48

405004104 has 64 divisors (see below), whose sum is σ = 1128816000. Its totient is φ = 134544960.

The previous prime is 405004081. The next prime is 405004121. The reversal of 405004104 is 401400504.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64162 + ... + 70190.

It is an arithmetic number, because the mean of its divisors is an integer number (17637750).

Almost surely, 2405004104 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 405004104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564408000).

405004104 is an abundant number, since it is smaller than the sum of its proper divisors (723811896).

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

405004104 is a wasteful number, since it uses less digits than its factorization.

405004104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6355 (or 6345 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 405004104 is about 20124.7137619396. The cubic root of 405004104 is about 739.8661213856.

Adding to 405004104 its reverse (401400504), we get a palindrome (806404608).

The spelling of 405004104 in words is "four hundred five million, four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 311 622 933 1244 1866 2488 2799 3732 5598 6029 7464 8397 11196 12058 16794 18087 22392 24116 33588 36174 48232 54261 67176 72348 108522 144696 162783 217044 325566 434088 651132 1302264 1875019 3750038 5625057 7500076 11250114 15000152 16875171 22500228 33750342 45000456 50625513 67500684 101251026 135001368 202502052 405004104