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40400580 = 223511411493
BaseRepresentation
bin1001101000011…
…1011011000100
32211000120011210
42122013123010
540320304310
64001531420
71000253643
oct232073304
984016153
1040400580
1120894610
1211643b70
1384a6c8c
14551935a
153830820
hex26876c4

40400580 has 96 divisors (see below), whose sum is σ = 126499968. Its totient is φ = 9548800.

The previous prime is 40400579. The next prime is 40400587. The reversal of 40400580 is 8500404.

It is not an unprimeable number, because it can be changed into a prime (40400587) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26314 + ... + 27806.

It is an arithmetic number, because the mean of its divisors is an integer number (1317708).

Almost surely, 240400580 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40400580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63249984).

40400580 is an abundant number, since it is smaller than the sum of its proper divisors (86099388).

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

40400580 is a wasteful number, since it uses less digits than its factorization.

40400580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1557 (or 1555 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 40400580 is about 6356.1450581308. The cubic root of 40400580 is about 343.1330363644.

Adding to 40400580 its reverse (8500404), we get a palindrome (48900984).

The spelling of 40400580 in words is "forty million, four hundred thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 41 44 55 60 66 82 110 123 132 164 165 205 220 246 330 410 451 492 615 660 820 902 1230 1353 1493 1804 2255 2460 2706 2986 4479 4510 5412 5972 6765 7465 8958 9020 13530 14930 16423 17916 22395 27060 29860 32846 44790 49269 61213 65692 82115 89580 98538 122426 164230 183639 197076 244852 246345 306065 328460 367278 492690 612130 673343 734556 918195 985380 1224260 1346686 1836390 2020029 2693372 3366715 3672780 4040058 6733430 8080116 10100145 13466860 20200290 40400580