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103194400 = 2552128993
BaseRepresentation
bin1100010011010…
…01111100100000
321012011211002211
412021221330200
5202404210100
614123451504
72362065211
oct611517440
9235154084
10103194400
1153283531
122a686b94
13184c179a
14d9c3408
1590d61ba
hex6269f20

103194400 has 36 divisors (see below), whose sum is σ = 251925282. Its totient is φ = 41277440.

The previous prime is 103194397. The next prime is 103194401. The reversal of 103194400 is 4491301.

It can be written as a sum of positive squares in 3 ways, for example, as 76527504 + 26666896 = 8748^2 + 5164^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103194401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 63697 + ... + 65296.

Almost surely, 2103194400 is an apocalyptic number.

103194400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103194400 is an abundant number, since it is smaller than the sum of its proper divisors (148730882).

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

103194400 is a wasteful number, since it uses less digits than its factorization.

103194400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129013 (or 129000 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 103194400 is about 10158.4644508902. The cubic root of 103194400 is about 469.0495353683.

The spelling of 103194400 in words is "one hundred three million, one hundred ninety-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 128993 257986 515972 644965 1031944 1289930 2063888 2579860 3224825 4127776 5159720 6449650 10319440 12899300 20638880 25798600 51597200 103194400