Search a number
-
+
10091480 = 2357231567
BaseRepresentation
bin100110011111…
…101111011000
3200222200220112
4212133233120
510040411410
61000143452
7151530140
oct46375730
920880815
1010091480
115772973
123467b88
1321243b9
1414a9920
15d45105
hex99fbd8

10091480 has 64 divisors (see below), whose sum is σ = 27095040. Its totient is φ = 3307392.

The previous prime is 10091479. The next prime is 10091509. The reversal of 10091480 is 8419001.

It is a Harshad number since it is a multiple of its sum of digits (23).

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, 5657 + ... + 7223.

It is an arithmetic number, because the mean of its divisors is an integer number (423360).

Almost surely, 210091480 is an apocalyptic number.

10091480 is a gapful number since it is divisible by the number (10) 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 10091480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13547520).

10091480 is an abundant number, since it is smaller than the sum of its proper divisors (17003560).

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

10091480 is a wasteful number, since it uses less digits than its factorization.

10091480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1608 (or 1604 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 23.

The square root of 10091480 is about 3176.7089888751. The cubic root of 10091480 is about 216.0984347873.

The spelling of 10091480 in words is "ten million, ninety-one thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 56 70 92 115 140 161 184 230 280 322 460 644 805 920 1288 1567 1610 3134 3220 6268 6440 7835 10969 12536 15670 21938 31340 36041 43876 54845 62680 72082 87752 109690 144164 180205 219380 252287 288328 360410 438760 504574 720820 1009148 1261435 1441640 2018296 2522870 5045740 10091480