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1540397016 = 2332591133209
BaseRepresentation
bin101101111010000…
…1001011111011000
310222100112021110100
41123310021133120
511123320201031
6412504015400
753113105254
oct13364113730
93870467410
101540397016
11720572094
1236ba61560
131b7197732
1410881b264
1590378de6
hex5bd097d8

1540397016 has 96 divisors (see below), whose sum is σ = 4281498000. Its totient is φ = 500140032.

The previous prime is 1540397011. The next prime is 1540397021. The reversal of 1540397016 is 6107930451.

1540397016 is a `hidden beast` number, since 1 + 540 + 39 + 70 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (1540397011) and next prime (1540397021).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1540397011) 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 23 ways as a sum of consecutive naturals, for example, 478420 + ... + 481628.

Almost surely, 21540397016 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 1540397016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2140749000).

1540397016 is an abundant number, since it is smaller than the sum of its proper divisors (2741100984).

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

1540397016 is a wasteful number, since it uses less digits than its factorization.

1540397016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3393 (or 3386 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 1540397016 is about 39247.8918669525. The cubic root of 1540397016 is about 1154.8995786082.

The spelling of 1540397016 in words is "one billion, five hundred forty million, three hundred ninety-seven thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 59 72 113 118 177 226 236 339 354 452 472 531 678 708 904 1017 1062 1356 1416 2034 2124 2712 3209 4068 4248 6418 6667 8136 9627 12836 13334 19254 20001 25672 26668 28881 38508 40002 53336 57762 60003 77016 80004 115524 120006 160008 189331 231048 240012 362617 378662 480024 567993 725234 757324 1087851 1135986 1450468 1514648 1703979 2175702 2271972 2900936 3263553 3407958 4351404 4543944 6527106 6815916 8702808 13054212 13631832 21394403 26108424 42788806 64183209 85577612 128366418 171155224 192549627 256732836 385099254 513465672 770198508 1540397016