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80468960 = 25511133517
BaseRepresentation
bin1001100101111…
…01101111100000
312121102020122212
410302331233200
5131100001320
611552421252
71664655245
oct462755740
9177366585
1080468960
1141471580
1222b47828
1313895990
14a9895cc
1570e79c5
hex4cbdbe0

80468960 has 96 divisors (see below), whose sum is σ = 223407072. Its totient is φ = 27002880.

The previous prime is 80468959. The next prime is 80469031. The reversal of 80468960 is 6986408.

It is a congruent number.

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, 21122 + ... + 24638.

It is an arithmetic number, because the mean of its divisors is an integer number (2327157).

Almost surely, 280468960 is an apocalyptic number.

80468960 is a gapful number since it is divisible by the number (80) 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 80468960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111703536).

80468960 is an abundant number, since it is smaller than the sum of its proper divisors (142938112).

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

80468960 is a wasteful number, since it uses less digits than its factorization.

80468960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3556 (or 3548 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 41.

The square root of 80468960 is about 8970.4492641116. The cubic root of 80468960 is about 431.7272512439.

The spelling of 80468960 in words is "eighty million, four hundred sixty-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 32 40 44 52 55 65 80 88 104 110 130 143 160 176 208 220 260 286 352 416 440 520 572 715 880 1040 1144 1430 1760 2080 2288 2860 3517 4576 5720 7034 11440 14068 17585 22880 28136 35170 38687 45721 56272 70340 77374 91442 112544 140680 154748 182884 193435 228605 281360 309496 365768 386870 457210 502931 562720 618992 731536 773740 914420 1005862 1237984 1463072 1547480 1828840 2011724 2514655 3094960 3657680 4023448 5029310 6189920 7315360 8046896 10058620 16093792 20117240 40234480 80468960