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40132240 = 24517231283
BaseRepresentation
bin1001100100010…
…1111010010000
32210111221002021
42121011322100
540233212430
63552101224
7665055421
oct231057220
983457067
1040132240
1120720a45
1211534814
138411ab5
145489648
1537cb07a
hex2645e90

40132240 has 80 divisors (see below), whose sum is σ = 103171968. Its totient is φ = 14440448.

The previous prime is 40132207. The next prime is 40132247. The reversal of 40132240 is 4223104.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×401322402 = 3221193374835200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (40132247) 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 15 ways as a sum of consecutive naturals, for example, 30639 + ... + 31921.

Almost surely, 240132240 is an apocalyptic number.

40132240 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 40132240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51585984).

40132240 is an abundant number, since it is smaller than the sum of its proper divisors (63039728).

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

40132240 is a wasteful number, since it uses less digits than its factorization.

40132240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 40132240 is about 6335.0011838989. The cubic root of 40132240 is about 342.3716534748.

Adding to 40132240 its reverse (4223104), we get a palindrome (44355344).

The spelling of 40132240 in words is "forty million, one hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 23 34 40 46 68 80 85 92 115 136 170 184 230 272 340 368 391 460 680 782 920 1283 1360 1564 1840 1955 2566 3128 3910 5132 6256 6415 7820 10264 12830 15640 20528 21811 25660 29509 31280 43622 51320 59018 87244 102640 109055 118036 147545 174488 218110 236072 295090 348976 436220 472144 501653 590180 872440 1003306 1180360 1744880 2006612 2360720 2508265 4013224 5016530 8026448 10033060 20066120 40132240