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40151400 = 2335266919
BaseRepresentation
bin1001100100101…
…0100101101000
32210112220100220
42121022211220
540234321100
63552330040
7665165322
oct231124550
983486326
1040151400
1120734383
1211543920
13841a733
145492612
1537d1aa0
hex264a968

40151400 has 48 divisors (see below), whose sum is σ = 124471200. Its totient is φ = 10706880.

The previous prime is 40151381. The next prime is 40151407. The reversal of 40151400 is 415104.

It is a super-2 number, since 2×401514002 = 3224269843920000, 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 40151400.

It is not an unprimeable number, because it can be changed into a prime (40151407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32860 + ... + 34059.

It is an arithmetic number, because the mean of its divisors is an integer number (2593150).

Almost surely, 240151400 is an apocalyptic number.

40151400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40151400 is an abundant number, since it is smaller than the sum of its proper divisors (84319800).

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

40151400 is a wasteful number, since it uses less digits than its factorization.

40151400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66938 (or 66929 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 40151400 is about 6336.5132367888. The cubic root of 40151400 is about 342.4261300188.

Adding to 40151400 its reverse (415104), we get a palindrome (40566504).

The spelling of 40151400 in words is "forty million, one hundred fifty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 66919 133838 200757 267676 334595 401514 535352 669190 803028 1003785 1338380 1606056 1672975 2007570 2676760 3345950 4015140 5018925 6691900 8030280 10037850 13383800 20075700 40151400