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469040 = 245111341
BaseRepresentation
bin1110010100000110000
3212211101212
41302200300
5110002130
614015252
73662315
oct1624060
9784355
10469040
112a0440
121a7528
13135650
14c2d0c
1593e95
hex72830

469040 has 80 divisors (see below), whose sum is σ = 1312416. Its totient is φ = 153600.

The previous prime is 469037. The next prime is 469069. The reversal of 469040 is 40964.

It is a tau number, because it is divible by the number of its divisors (80).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 468997 and 469015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11420 + ... + 11460.

2469040 is an apocalyptic number.

469040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 469040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656208).

469040 is an abundant number, since it is smaller than the sum of its proper divisors (843376).

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

469040 is a wasteful number, since it uses less digits than its factorization.

469040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 469040 is about 684.8649501909. The cubic root of 469040 is about 77.6968288562.

The spelling of 469040 in words is "four hundred sixty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 41 44 52 55 65 80 82 88 104 110 130 143 164 176 205 208 220 260 286 328 410 440 451 520 533 572 656 715 820 880 902 1040 1066 1144 1430 1640 1804 2132 2255 2288 2665 2860 3280 3608 4264 4510 5330 5720 5863 7216 8528 9020 10660 11440 11726 18040 21320 23452 29315 36080 42640 46904 58630 93808 117260 234520 469040