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148006100 = 225211197683
BaseRepresentation
bin10001101001001…
…10010011010100
3101022111111012102
420310212103110
5300342143400
622404141232
73445013444
oct1064462324
9338444172
10148006100
11766001a0
1241697818
1324881498
141592a124
15ced89d5
hex8d264d4

148006100 has 72 divisors (see below), whose sum is σ = 352664928. Its totient is φ = 53468800.

The previous prime is 148006099. The next prime is 148006109. The reversal of 148006100 is 1600841.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148006109) 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, 216359 + ... + 217041.

It is an arithmetic number, because the mean of its divisors is an integer number (4898124).

Almost surely, 2148006100 is an apocalyptic number.

148006100 is a gapful number since it is divisible by the number (10) 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 148006100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176332464).

148006100 is an abundant number, since it is smaller than the sum of its proper divisors (204658828).

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

148006100 is a wasteful number, since it uses less digits than its factorization.

148006100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 148006100 is about 12165.7757664688. The cubic root of 148006100 is about 528.9645143750.

Adding to 148006100 its reverse (1600841), we get a palindrome (149606941).

The spelling of 148006100 in words is "one hundred forty-eight million, six thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 197 220 275 394 550 683 788 985 1100 1366 1970 2167 2732 3415 3940 4334 4925 6830 7513 8668 9850 10835 13660 15026 17075 19700 21670 30052 34150 37565 43340 54175 68300 75130 108350 134551 150260 187825 216700 269102 375650 538204 672755 751300 1345510 1480061 2691020 2960122 3363775 5920244 6727550 7400305 13455100 14800610 29601220 37001525 74003050 148006100