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103276992 = 26371323257
BaseRepresentation
bin1100010011111…
…10000111000000
321012100000101210
412021332013000
5202414330432
614125330120
72362561050
oct611760700
9235300353
10103276992
115332a595
122a706940
1318520260
14da05560
1591008cc
hex627e1c0

103276992 has 224 divisors, whose sum is σ = 352300032. Its totient is φ = 25952256.

The previous prime is 103276961. The next prime is 103276993. The reversal of 103276992 is 299672301.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×1032769922 = 21332274153136128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 103276992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103276993) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 401728 + ... + 401984.

It is an arithmetic number, because the mean of its divisors is an integer number (1572768).

Almost surely, 2103276992 is an apocalyptic number.

103276992 is a gapful number since it is divisible by the number (12) 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 103276992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176150016).

103276992 is an abundant number, since it is smaller than the sum of its proper divisors (249023040).

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

103276992 is a wasteful number, since it uses less digits than its factorization.

103276992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 103276992 is about 10162.5288191473. The cubic root of 103276992 is about 469.1746371460.

The spelling of 103276992 in words is "one hundred three million, two hundred seventy-six thousand, nine hundred ninety-two".