Search a number
-
+
100497000 = 23353139241
BaseRepresentation
bin1011111110101…
…11011001101000
321000002202222010
411333113121220
5201211401000
613545555520
72330132112
oct577273150
9230082863
10100497000
115180097a
12297a5ba0
1317a88aa6
14d4c03b2
158c51d50
hex5fd7668

100497000 has 128 divisors (see below), whose sum is σ = 317116800. Its totient is φ = 26496000.

The previous prime is 100496971. The next prime is 100497011. The reversal of 100497000 is 794001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 416880 + ... + 417120.

It is an arithmetic number, because the mean of its divisors is an integer number (2477475).

Almost surely, 2100497000 is an apocalyptic number.

100497000 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 100497000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158558400).

100497000 is an abundant number, since it is smaller than the sum of its proper divisors (216619800).

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

100497000 is a wasteful number, since it uses less digits than its factorization.

100497000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 100497000 is about 10024.8192003647. The cubic root of 100497000 is about 464.9265695125.

The spelling of 100497000 in words is "one hundred million, four hundred ninety-seven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 139 150 200 241 250 278 300 375 417 482 500 556 600 695 723 750 834 964 1000 1112 1205 1390 1446 1500 1668 1928 2085 2410 2780 2892 3000 3336 3475 3615 4170 4820 5560 5784 6025 6950 7230 8340 9640 10425 12050 13900 14460 16680 17375 18075 20850 24100 27800 28920 30125 33499 34750 36150 41700 48200 52125 60250 66998 69500 72300 83400 90375 100497 104250 120500 133996 139000 144600 167495 180750 200994 208500 241000 267992 334990 361500 401988 417000 502485 669980 723000 803976 837475 1004970 1339960 1674950 2009940 2512425 3349900 4019880 4187375 5024850 6699800 8374750 10049700 12562125 16749500 20099400 25124250 33499000 50248500 100497000