Search a number
-
+
100040600 = 235211371229
BaseRepresentation
bin1011111011001…
…11111110011000
320222020120220102
411331213332120
5201102244400
613532114532
72323221362
oct575477630
9228216812
10100040600
1151519a90
1229605a48
131795912a
14d401d32
158bb19d5
hex5f67f98

100040600 has 96 divisors (see below), whose sum is σ = 260809200. Its totient is φ = 35366400.

The previous prime is 100040599. The next prime is 100040641. The reversal of 100040600 is 6040001.

It is a Harshad number since it is a multiple of its sum of digits (11).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80786 + ... + 82014.

Almost surely, 2100040600 is an apocalyptic number.

100040600 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 100040600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130404600).

100040600 is an abundant number, since it is smaller than the sum of its proper divisors (160768600).

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

100040600 is a wasteful number, since it uses less digits than its factorization.

100040600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1293 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 100040600 is about 10002.0297939968. The cubic root of 100040600 is about 464.2216910310.

Adding to 100040600 its reverse (6040001), we get a palindrome (106080601).

The spelling of 100040600 in words is "one hundred million, forty thousand, six hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 37 40 44 50 55 74 88 100 110 148 185 200 220 275 296 370 407 440 550 740 814 925 1100 1229 1480 1628 1850 2035 2200 2458 3256 3700 4070 4916 6145 7400 8140 9832 10175 12290 13519 16280 20350 24580 27038 30725 40700 45473 49160 54076 61450 67595 81400 90946 108152 122900 135190 181892 227365 245800 270380 337975 363784 454730 500203 540760 675950 909460 1000406 1136825 1351900 1818920 2000812 2273650 2501015 2703800 4001624 4547300 5002030 9094600 10004060 12505075 20008120 25010150 50020300 100040600