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406147740 = 223531593701
BaseRepresentation
bin11000001101010…
…101001010011100
31001022020102221220
4120031111022130
51312433211430
6104145053340
713031125125
oct3015251234
91038212856
10406147740
11199294899
12b4027250
13661b490b
143bd2504c
15259ca110
hex1835529c

406147740 has 96 divisors (see below), whose sum is σ = 1194117120. Its totient is φ = 103008000.

The previous prime is 406147723. The next prime is 406147747. The reversal of 406147740 is 47741604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406147747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107890 + ... + 111590.

It is an arithmetic number, because the mean of its divisors is an integer number (12438720).

Almost surely, 2406147740 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 406147740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597058560).

406147740 is an abundant number, since it is smaller than the sum of its proper divisors (787969380).

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

406147740 is a wasteful number, since it uses less digits than its factorization.

406147740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3803 (or 3801 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 406147740 is about 20153.1074526982. The cubic root of 406147740 is about 740.5618693541.

The spelling of 406147740 in words is "four hundred six million, one hundred forty-seven thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 59 60 62 93 118 124 155 177 186 236 295 310 354 372 465 590 620 708 885 930 1180 1770 1829 1860 3540 3658 3701 5487 7316 7402 9145 10974 11103 14804 18290 18505 21948 22206 27435 36580 37010 44412 54870 55515 74020 109740 111030 114731 218359 222060 229462 344193 436718 458924 573655 655077 688386 873436 1091795 1147310 1310154 1376772 1720965 2183590 2294620 2620308 3275385 3441930 4367180 6550770 6769129 6883860 13101540 13538258 20307387 27076516 33845645 40614774 67691290 81229548 101536935 135382580 203073870 406147740