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40370240 = 2651741181
BaseRepresentation
bin1001101000000…
…0000001000000
32210222000120002
42122000001000
540313321430
64001135132
71000066331
oct232000100
983860502
1040370240
1120873839
121162a4a8
138496221
14550c288
153826845
hex2680040

40370240 has 112 divisors (see below), whose sum is σ = 104845104. Its totient is φ = 14745600.

The previous prime is 40370203. The next prime is 40370243. The reversal of 40370240 is 4207304.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 10863616 + 29506624 = 3296^2 + 5432^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (40370243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 222950 + ... + 223130.

It is an arithmetic number, because the mean of its divisors is an integer number (936117).

Almost surely, 240370240 is an apocalyptic number.

40370240 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 40370240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52422552).

40370240 is an abundant number, since it is smaller than the sum of its proper divisors (64474864).

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

40370240 is a wasteful number, since it uses less digits than its factorization.

40370240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 20.

The square root of 40370240 is about 6353.7579431388. The cubic root of 40370240 is about 343.0471195824.

Adding to 40370240 its reverse (4207304), we get a palindrome (44577544).

The spelling of 40370240 in words is "forty million, three hundred seventy thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 41 64 68 80 82 85 136 160 164 170 181 205 272 320 328 340 362 410 544 656 680 697 724 820 905 1088 1312 1360 1394 1448 1640 1810 2624 2720 2788 2896 3077 3280 3485 3620 5440 5576 5792 6154 6560 6970 7240 7421 11152 11584 12308 13120 13940 14480 14842 15385 22304 24616 27880 28960 29684 30770 37105 44608 49232 55760 57920 59368 61540 74210 98464 111520 118736 123080 126157 148420 196928 223040 237472 246160 252314 296840 474944 492320 504628 593680 630785 984640 1009256 1187360 1261570 2018512 2374720 2523140 4037024 5046280 8074048 10092560 20185120 40370240