Search a number
-
+
40150040 = 2357197547
BaseRepresentation
bin1001100100101…
…0010000011000
32210112211111112
42121022100120
540234300130
63552315452
7665161340
oct231122030
983484445
1040150040
1120733357
1211542b88
138419c28
145491d20
1537d1495
hex264a418

40150040 has 64 divisors (see below), whose sum is σ = 108691200. Its totient is φ = 13039488.

The previous prime is 40150037. The next prime is 40150043. The reversal of 40150040 is 4005104.

It is an interprime number because it is at equal distance from previous prime (40150037) and next prime (40150043).

It is a super-2 number, since 2×401500402 = 3224051424003200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 40149997 and 40150024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40150043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1547 + ... + 9093.

It is an arithmetic number, because the mean of its divisors is an integer number (1698300).

Almost surely, 240150040 is an apocalyptic number.

40150040 is a gapful number since it is divisible by the number (40) 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 40150040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54345600).

40150040 is an abundant number, since it is smaller than the sum of its proper divisors (68541160).

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

40150040 is a wasteful number, since it uses less digits than its factorization.

40150040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7584 (or 7580 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 40150040 is about 6336.4059213406. The cubic root of 40150040 is about 342.4222637793.

Adding to 40150040 its reverse (4005104), we get a palindrome (44155144).

The spelling of 40150040 in words is "forty million, one hundred fifty thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 133 140 152 190 266 280 380 532 665 760 1064 1330 2660 5320 7547 15094 30188 37735 52829 60376 75470 105658 143393 150940 211316 264145 286786 301880 422632 528290 573572 716965 1003751 1056580 1147144 1433930 2007502 2113160 2867860 4015004 5018755 5735720 8030008 10037510 20075020 40150040