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103486680 = 233351131281
BaseRepresentation
bin1100010101100…
…01010011011000
321012201200001000
412022301103120
5202443033210
614134025000
72364423303
oct612612330
9235650030
10103486680
1153463090
122a7a8160
131859482b
14da5bb3a
159142ac0
hex62b14d8

103486680 has 256 divisors, whose sum is σ = 389836800. Its totient is φ = 24192000.

The previous prime is 103486651. The next prime is 103486693. The reversal of 103486680 is 86684301.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 368140 + ... + 368420.

It is an arithmetic number, because the mean of its divisors is an integer number (1522800).

Almost surely, 2103486680 is an apocalyptic number.

103486680 is a gapful number since it is divisible by the number (10) 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 103486680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194918400).

103486680 is an abundant number, since it is smaller than the sum of its proper divisors (286350120).

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

103486680 is a wasteful number, since it uses less digits than its factorization.

103486680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 103486680 is about 10172.8403113388. The cubic root of 103486680 is about 469.4919513977.

The spelling of 103486680 in words is "one hundred three million, four hundred eighty-six thousand, six hundred eighty".