Search a number
-
+
80097024 = 283747317
BaseRepresentation
bin1001100011000…
…10111100000000
312120201100110110
410301202330000
5131001101044
611540431320
71661546010
oct461427400
9176640413
1080097024
1141238097
12229a8540
13137955b7
14a8cdc40
1570726b9
hex4c62f00

80097024 has 144 divisors (see below), whose sum is σ = 249596928. Its totient is φ = 22327296.

The previous prime is 80097001. The next prime is 80097029. The reversal of 80097024 is 42079008.

It is a junction number, because it is equal to n+sod(n) for n = 80096982 and 80097000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80097029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 252514 + ... + 252830.

It is an arithmetic number, because the mean of its divisors is an integer number (1733312).

Almost surely, 280097024 is an apocalyptic number.

80097024 is a gapful number since it is divisible by the number (84) 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 80097024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124798464).

80097024 is an abundant number, since it is smaller than the sum of its proper divisors (169499904).

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

80097024 is a wasteful number, since it uses less digits than its factorization.

80097024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 80097024 is about 8949.6940729837. The cubic root of 80097024 is about 431.0610608594.

The spelling of 80097024 in words is "eighty million, ninety-seven thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 47 48 56 64 84 94 96 112 128 141 168 188 192 224 256 282 317 329 336 376 384 448 564 634 658 672 752 768 896 951 987 1128 1268 1316 1344 1504 1792 1902 1974 2219 2256 2536 2632 2688 3008 3804 3948 4438 4512 5072 5264 5376 6016 6657 7608 7896 8876 9024 10144 10528 12032 13314 14899 15216 15792 17752 18048 20288 21056 26628 29798 30432 31584 35504 36096 40576 42112 44697 53256 59596 60864 63168 71008 81152 84224 89394 104293 106512 119192 121728 126336 142016 178788 208586 213024 238384 243456 252672 284032 312879 357576 417172 426048 476768 568064 625758 715152 834344 852096 953536 1251516 1430304 1668688 1704192 1907072 2503032 2860608 3337376 3814144 5006064 5721216 6674752 10012128 11442432 13349504 20024256 26699008 40048512 80097024