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103158016 = 2813139223
BaseRepresentation
bin1100010011000…
…01000100000000
321012002222012021
412021201010000
5202402024031
614123011224
72361554143
oct611410400
9235088167
10103158016
1153259165
122a669b14
13184ab060
14d9b405a
1590ca511
hex6261100

103158016 has 72 divisors (see below), whose sum is σ = 224349440. Its totient is φ = 47056896.

The previous prime is 103157969. The next prime is 103158037. The reversal of 103158016 is 610851301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 462481 + ... + 462703.

Almost surely, 2103158016 is an apocalyptic number.

103158016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103158016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112174720).

103158016 is an abundant number, since it is smaller than the sum of its proper divisors (121191424).

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

103158016 is a wasteful number, since it uses less digits than its factorization.

103158016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

The square root of 103158016 is about 10156.6734711716. The cubic root of 103158016 is about 468.9944034866.

The spelling of 103158016 in words is "one hundred three million, one hundred fifty-eight thousand, sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 139 208 223 256 278 416 446 556 832 892 1112 1664 1784 1807 2224 2899 3328 3568 3614 4448 5798 7136 7228 8896 11596 14272 14456 17792 23192 28544 28912 30997 35584 46384 57088 57824 61994 92768 115648 123988 185536 231296 247976 371072 402961 462592 495952 742144 805922 991904 1611844 1983808 3223688 3967616 6447376 7935232 12894752 25789504 51579008 103158016