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103278112 = 25731107139
BaseRepresentation
bin1100010011111…
…10011000100000
321012100001221021
412021332120200
5202414344422
614125335224
72362564240
oct611763040
9235301837
10103278112
1153330413
122a707514
1318520912
14da05b20
159100dc7
hex627e620

103278112 has 96 divisors (see below), whose sum is σ = 243855360. Its totient is φ = 42128640.

The previous prime is 103278107. The next prime is 103278113. The reversal of 103278112 is 211872301.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (103278113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 742939 + ... + 743077.

It is an arithmetic number, because the mean of its divisors is an integer number (2540160).

Almost surely, 2103278112 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 103278112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121927680).

103278112 is an abundant number, since it is smaller than the sum of its proper divisors (140577248).

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

103278112 is a wasteful number, since it uses less digits than its factorization.

103278112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 25.

The square root of 103278112 is about 10162.5839233927. The cubic root of 103278112 is about 469.1763331471.

The spelling of 103278112 in words is "one hundred three million, two hundred seventy-eight thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 107 112 124 139 214 217 224 248 278 428 434 496 556 749 856 868 973 992 1112 1498 1712 1736 1946 2224 2996 3317 3424 3472 3892 4309 4448 5992 6634 6944 7784 8618 11984 13268 14873 15568 17236 23219 23968 26536 29746 30163 31136 34472 46438 53072 59492 60326 68944 92876 104111 106144 118984 120652 137888 185752 208222 237968 241304 371504 416444 461063 475936 482608 743008 832888 922126 965216 1665776 1844252 3227441 3331552 3688504 6454882 7377008 12909764 14754016 25819528 51639056 103278112