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103339152 = 243573797
BaseRepresentation
bin1100010100011…
…01010010010000
321012110011200000
412022031102100
5202423323102
614130530000
72363240220
oct612152220
9235404600
10103339152
1153372264
122a736900
1318542637
14da20080
15911401c
hex628d490

103339152 has 120 divisors (see below), whose sum is σ = 342853056. Its totient is φ = 29517696.

The previous prime is 103339139. The next prime is 103339153. The reversal of 103339152 is 251933301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (103339153) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25318 + ... + 29114.

Almost surely, 2103339152 is an apocalyptic number.

103339152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103339152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171426528).

103339152 is an abundant number, since it is smaller than the sum of its proper divisors (239513904).

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

103339152 is an equidigital number, since it uses as much as digits as its factorization.

103339152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3827 (or 3809 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 103339152 is about 10165.5866530171. The cubic root of 103339152 is about 469.2687466723.

The spelling of 103339152 in words is "one hundred three million, three hundred thirty-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 243 252 324 336 378 432 486 504 567 648 756 972 1008 1134 1296 1512 1701 1944 2268 3024 3402 3797 3888 4536 6804 7594 9072 11391 13608 15188 22782 26579 27216 30376 34173 45564 53158 60752 68346 79737 91128 102519 106316 136692 159474 182256 205038 212632 239211 273384 307557 318948 410076 425264 478422 546768 615114 637896 717633 820152 922671 956844 1230228 1275792 1435266 1640304 1845342 1913688 2152899 2460456 2870532 3690684 3827376 4305798 4920912 5741064 6458697 7381368 8611596 11482128 12917394 14762736 17223192 25834788 34446384 51669576 103339152