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103054432 = 25131911297
BaseRepresentation
bin1100010010001…
…11110001100000
321011220201002211
412021013301200
5202340220212
614120451504
72360643145
oct611076140
9234821084
10103054432
1153198358
122a619b94
1318472b70
14d9883cc
1590a99a7
hex6247c60

103054432 has 48 divisors (see below), whose sum is σ = 219808512. Its totient is φ = 47278080.

The previous prime is 103054411. The next prime is 103054439. The reversal of 103054432 is 234450301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103054439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78808 + ... + 80104.

It is an arithmetic number, because the mean of its divisors is an integer number (4579344).

Almost surely, 2103054432 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 103054432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109904256).

103054432 is an abundant number, since it is smaller than the sum of its proper divisors (116754080).

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

103054432 is a wasteful number, since it uses less digits than its factorization.

103054432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1511 (or 1503 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 103054432 is about 10151.5728830561. The cubic root of 103054432 is about 468.8373738875.

The spelling of 103054432 in words is "one hundred three million, fifty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 191 208 382 416 764 1297 1528 2483 2594 3056 4966 5188 6112 9932 10376 16861 19864 20752 33722 39728 41504 67444 79456 134888 247727 269776 495454 539552 990908 1981816 3220451 3963632 6440902 7927264 12881804 25763608 51527216 103054432