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103145432 = 231322331107
BaseRepresentation
bin1100010010111…
…01111111011000
321012002022221012
412021131333120
5202401123212
614122433052
72361502355
oct611357730
9235068835
10103145432
115324a765
122a662788
13184a5400
14d9ad62c
1590c6922
hex625dfd8

103145432 has 96 divisors (see below), whose sum is σ = 227681280. Its totient is φ = 43655040.

The previous prime is 103145429. The next prime is 103145447. The reversal of 103145432 is 234541301.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 103145398 and 103145407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 963923 + ... + 964029.

It is an arithmetic number, because the mean of its divisors is an integer number (2371680).

Almost surely, 2103145432 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 103145432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113840640).

103145432 is an abundant number, since it is smaller than the sum of its proper divisors (124535848).

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

103145432 is a wasteful number, since it uses less digits than its factorization.

103145432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 103145432 is about 10156.0539581079. The cubic root of 103145432 is about 468.9753322087.

Adding to 103145432 its reverse (234541301), we get a palindrome (337686733).

The spelling of 103145432 in words is "one hundred three million, one hundred forty-five thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 23 26 31 46 52 62 92 104 107 124 169 184 214 248 299 338 403 428 598 676 713 806 856 1196 1352 1391 1426 1612 2392 2461 2782 2852 3224 3317 3887 4922 5239 5564 5704 6634 7774 9269 9844 10478 11128 13268 15548 18083 18538 19688 20956 26536 31096 31993 36166 37076 41912 43121 63986 72332 74152 76291 86242 120497 127972 144664 152582 172484 240994 255944 305164 344968 415909 481988 560573 610328 831818 963976 991783 1121146 1663636 1983566 2242292 3327272 3967132 4484584 7934264 12893179 25786358 51572716 103145432