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103386472 = 23722311467
BaseRepresentation
bin1100010100110…
…00110101101000
321012112120120121
412022120311220
5202431331342
614131533024
72363525200
oct612306550
9235476517
10103386472
11533a4872
122a75a174
131855b037
14da33400
159123067
hex6298d68

103386472 has 48 divisors (see below), whose sum is σ = 235323360. Its totient is φ = 42378336.

The previous prime is 103386463. The next prime is 103386487. The reversal of 103386472 is 274683301.

It is a happy number.

It is a super-4 number, since 4×1033864724 (a number of 33 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3283 + ... + 14749.

It is an arithmetic number, because the mean of its divisors is an integer number (4902570).

Almost surely, 2103386472 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 103386472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117661680).

103386472 is an abundant number, since it is smaller than the sum of its proper divisors (131936888).

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

103386472 is a wasteful number, since it uses less digits than its factorization.

103386472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11510 (or 11499 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 103386472 is about 10167.9138469993. The cubic root of 103386472 is about 469.3403633123.

The spelling of 103386472 in words is "one hundred three million, three hundred eighty-six thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 23 28 46 49 56 92 98 161 184 196 322 392 644 1127 1288 2254 4508 9016 11467 22934 45868 80269 91736 160538 263741 321076 527482 561883 642152 1054964 1123766 1846187 2109928 2247532 3692374 4495064 7384748 12923309 14769496 25846618 51693236 103386472