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400530144 = 2537596027
BaseRepresentation
bin10111110111111…
…001101011100000
31000220200001001210
4113313321223200
51310013431034
6103424430120
712632310240
oct2767715340
91026601053
10400530144
111960a8253
12b2178340
1364c989b1
143b2a1b20
152526a8e9
hex17df9ae0

400530144 has 48 divisors (see below), whose sum is σ = 1201592448. Its totient is φ = 114436992.

The previous prime is 400530133. The next prime is 400530157. The reversal of 400530144 is 441035004.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 400530144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 297342 + ... + 298685.

It is an arithmetic number, because the mean of its divisors is an integer number (25033176).

Almost surely, 2400530144 is an apocalyptic number.

It is an amenable number.

400530144 is an abundant number, since it is smaller than the sum of its proper divisors (801062304).

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

400530144 is a wasteful number, since it uses less digits than its factorization.

400530144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596047 (or 596039 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 400530144 is about 20013.2492114599. The cubic root of 400530144 is about 737.1316672265.

Adding to 400530144 its reverse (441035004), we get a palindrome (841565148).

The spelling of 400530144 in words is "four hundred million, five hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 596027 1192054 1788081 2384108 3576162 4172189 4768216 7152324 8344378 9536432 12516567 14304648 16688756 19072864 25033134 28609296 33377512 50066268 57218592 66755024 100132536 133510048 200265072 400530144