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40015000 = 235453151
BaseRepresentation
bin1001100010100…
…1010010011000
32210021222021001
42120221102120
540220440000
63545354344
7664056544
oct230512230
983258231
1040015000
1120650953
12114989b4
1383a061c
145458a24
1537a646a
hex2629498

40015000 has 80 divisors (see below), whose sum is σ = 96156720. Its totient is φ = 15600000.

The previous prime is 40014977. The next prime is 40015049. The reversal of 40015000 is 51004.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 264925 + ... + 265075.

It is an arithmetic number, because the mean of its divisors is an integer number (1201959).

Almost surely, 240015000 is an apocalyptic number.

40015000 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 40015000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48078360).

40015000 is an abundant number, since it is smaller than the sum of its proper divisors (56141720).

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

40015000 is a wasteful number, since it uses less digits than its factorization.

40015000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 40015000 is about 6325.7410633063. The cubic root of 40015000 is about 342.0379333914.

Adding to 40015000 its reverse (51004), we get a palindrome (40066004).

It can be divided in two parts, 400 and 15000, that added together give a triangular number (15400 = T175).

The spelling of 40015000 in words is "forty million, fifteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 125 151 200 212 250 265 302 424 500 530 604 625 755 1000 1060 1208 1250 1325 1510 2120 2500 2650 3020 3775 5000 5300 6040 6625 7550 8003 10600 13250 15100 16006 18875 26500 30200 32012 33125 37750 40015 53000 64024 66250 75500 80030 94375 132500 151000 160060 188750 200075 265000 320120 377500 400150 755000 800300 1000375 1600600 2000750 4001500 5001875 8003000 10003750 20007500 40015000