Search a number
-
+
10699488 = 253297383
BaseRepresentation
bin101000110100…
…001011100000
3202010120221100
4220310023200
510214340423
61021154400
7156641562
oct50641340
922116840
1010699488
116048758
1236bba00
1322a8077
1415c7332
15e15343
hexa342e0

10699488 has 72 divisors (see below), whose sum is σ = 30820608. Its totient is φ = 3520512.

The previous prime is 10699471. The next prime is 10699501. The reversal of 10699488 is 88499601.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×106994882 = 228958086924288, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27745 + ... + 28127.

It is an arithmetic number, because the mean of its divisors is an integer number (428064).

Almost surely, 210699488 is an apocalyptic number.

10699488 is a gapful number since it is divisible by the number (18) 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 10699488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15410304).

10699488 is an abundant number, since it is smaller than the sum of its proper divisors (20121120).

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

10699488 is a wasteful number, since it uses less digits than its factorization.

10699488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 10699488 is about 3271.0071843394. The cubic root of 10699488 is about 220.3540305289.

The spelling of 10699488 in words is "ten million, six hundred ninety-nine thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 97 144 194 288 291 383 388 582 766 776 873 1149 1164 1532 1552 1746 2298 2328 3064 3104 3447 3492 4596 4656 6128 6894 6984 9192 9312 12256 13788 13968 18384 27576 27936 36768 37151 55152 74302 110304 111453 148604 222906 297208 334359 445812 594416 668718 891624 1188832 1337436 1783248 2674872 3566496 5349744 10699488