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40151040 = 211351307
BaseRepresentation
bin1001100100101…
…0100000000000
32210112212212120
42121022200000
540234313130
63552324240
7665164266
oct231124000
983485776
1040151040
1120734086
1211543680
13841a517
145492436
1537d1910
hex264a800

40151040 has 96 divisors (see below), whose sum is σ = 128550240. Its totient is φ = 10698752.

The previous prime is 40151029. The next prime is 40151053. The reversal of 40151040 is 4015104.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×401510402 = 3224212026163200, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30067 + ... + 31373.

It is an arithmetic number, because the mean of its divisors is an integer number (1339065).

Almost surely, 240151040 is an apocalyptic number.

40151040 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 40151040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64275120).

40151040 is an abundant number, since it is smaller than the sum of its proper divisors (88399200).

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

40151040 is a wasteful number, since it uses less digits than its factorization.

40151040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337 (or 1317 counting only the distinct ones).

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

The square root of 40151040 is about 6336.4848299353. The cubic root of 40151040 is about 342.4251066110.

Adding to 40151040 its reverse (4015104), we get a palindrome (44166144).

The spelling of 40151040 in words is "forty million, one hundred fifty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1307 1536 1920 2048 2560 2614 3072 3840 3921 5120 5228 6144 6535 7680 7842 10240 10456 13070 15360 15684 19605 20912 26140 30720 31368 39210 41824 52280 62736 78420 83648 104560 125472 156840 167296 209120 250944 313680 334592 418240 501888 627360 669184 836480 1003776 1254720 1338368 1672960 2007552 2509440 2676736 3345920 4015104 5018880 6691840 8030208 10037760 13383680 20075520 40151040