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400641012 = 223341173523
BaseRepresentation
bin10111111000010…
…100101111110100
31000220212200011000
4113320110233310
51310031003022
6103431043300
712633251412
oct2770245764
91026780130
10400641012
11196173582
12b2210530
13650072b5
143b2d02b2
152528d6ac
hex17e14bf4

400641012 has 96 divisors (see below), whose sum is σ = 1072229760. Its totient is φ = 129288960.

The previous prime is 400640959. The next prime is 400641013. The reversal of 400641012 is 210146004.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400641013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 765783 + ... + 766305.

It is an arithmetic number, because the mean of its divisors is an integer number (11169060).

Almost surely, 2400641012 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 400641012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536114880).

400641012 is an abundant number, since it is smaller than the sum of its proper divisors (671588748).

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

400641012 is a wasteful number, since it uses less digits than its factorization.

400641012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 400641012 is about 20016.0188848832. The cubic root of 400641012 is about 737.1996744044.

Adding to 400641012 its reverse (210146004), we get a palindrome (610787016).

The spelling of 400641012 in words is "four hundred million, six hundred forty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 82 108 123 164 173 246 346 369 492 519 523 692 738 1038 1046 1107 1476 1557 1569 2076 2092 2214 3114 3138 4428 4671 4707 6228 6276 7093 9342 9414 14121 14186 18684 18828 21279 21443 28242 28372 42558 42886 56484 63837 64329 85116 85772 90479 127674 128658 180958 191511 192987 255348 257316 271437 361916 383022 385974 542874 578961 766044 771948 814311 1085748 1157922 1628622 2315844 2442933 3257244 3709639 4885866 7419278 9771732 11128917 14838556 22257834 33386751 44515668 66773502 100160253 133547004 200320506 400641012