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40613100 = 223521131397
BaseRepresentation
bin1001101011101…
…1010011101100
32211102100200220
42122323103230
540344104400
64010251340
71002130353
oct232732354
984370626
1040613100
1120a1a250
1211726b50
13854c928
14557299a
1538737a0
hex26bb4ec

40613100 has 144 divisors (see below), whose sum is σ = 132658176. Its totient is φ = 9504000.

The previous prime is 40613099. The next prime is 40613107. The reversal of 40613100 is 131604.

It is a super-2 number, since 2×406131002 = 3298847783220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 40613100.

It is not an unprimeable number, because it can be changed into a prime (40613107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102102 + ... + 102498.

Almost surely, 240613100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40613100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66329088).

40613100 is an abundant number, since it is smaller than the sum of its proper divisors (92045076).

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

40613100 is a wasteful number, since it uses less digits than its factorization.

40613100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 40613100 is about 6372.8408108158. The cubic root of 40613100 is about 343.7336477070.

Adding to 40613100 its reverse (131604), we get a palindrome (40744704).

The spelling of 40613100 in words is "forty million, six hundred thirteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 31 33 44 50 55 60 62 66 75 93 100 110 124 132 150 155 165 186 220 275 300 310 330 341 372 397 465 550 620 660 682 775 794 825 930 1023 1100 1191 1364 1550 1588 1650 1705 1860 1985 2046 2325 2382 3100 3300 3410 3970 4092 4367 4650 4764 5115 5955 6820 7940 8525 8734 9300 9925 10230 11910 12307 13101 17050 17468 19850 20460 21835 23820 24614 25575 26202 29775 34100 36921 39700 43670 49228 51150 52404 59550 61535 65505 73842 87340 102300 109175 119100 123070 131010 135377 147684 184605 218350 246140 262020 270754 307675 327525 369210 406131 436700 541508 615350 655050 676885 738420 812262 923025 1230700 1310100 1353770 1624524 1846050 2030655 2707540 3384425 3692100 4061310 6768850 8122620 10153275 13537700 20306550 40613100