Search a number
-
+
103419972 = 22322872777
BaseRepresentation
bin1100010101000…
…01000001000100
321012121021112100
412022201001010
5202433414342
614132352100
72364024645
oct612410104
9235537470
10103419972
1153417a57
122a775630
1318570366
14da416cc
15912ce4c
hex62a1044

103419972 has 18 divisors (see below), whose sum is σ = 261422798. Its totient is φ = 34473312.

The previous prime is 103419947. The next prime is 103419991. The reversal of 103419972 is 279914301.

It can be written as a sum of positive squares in only one way, i.e., 75794436 + 27625536 = 8706^2 + 5256^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2872777 = 103419972 / (1 + 0 + 3 + 4 + 1 + 9 + 9 + 7 + 2).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1436353 + ... + 1436424.

Almost surely, 2103419972 is an apocalyptic number.

103419972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103419972 is an abundant number, since it is smaller than the sum of its proper divisors (158002826).

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

103419972 is a wasteful number, since it uses less digits than its factorization.

103419972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2872787 (or 2872782 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 103419972 is about 10169.5610524742. The cubic root of 103419972 is about 469.3910508086.

The spelling of 103419972 in words is "one hundred three million, four hundred nineteen thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 2872777 5745554 8618331 11491108 17236662 25854993 34473324 51709986 103419972