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148106364 = 223729163373
BaseRepresentation
bin10001101001111…
…10110001111100
3101022200120201220
420310332301330
5300403400424
622410233340
73445611660
oct1064766174
9338616656
10148106364
117666955a
1241725850
13248b8003
14159548a0
15d008579
hex8d3ec7c

148106364 has 96 divisors (see below), whose sum is σ = 412177920. Its totient is φ = 40497408.

The previous prime is 148106359. The next prime is 148106369. The reversal of 148106364 is 463601841.

It is an interprime number because it is at equal distance from previous prime (148106359) and next prime (148106369).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148106369) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 396882 + ... + 397254.

It is an arithmetic number, because the mean of its divisors is an integer number (4293520).

Almost surely, 2148106364 is an apocalyptic number.

148106364 is a gapful number since it is divisible by the number (14) 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 148106364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206088960).

148106364 is an abundant number, since it is smaller than the sum of its proper divisors (264071556).

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

148106364 is a wasteful number, since it uses less digits than its factorization.

148106364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 148106364 is about 12169.8958089213. The cubic root of 148106364 is about 529.0839331613.

The spelling of 148106364 in words is "one hundred forty-eight million, one hundred six thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 116 163 174 203 326 348 373 406 489 609 652 746 812 978 1119 1141 1218 1492 1956 2238 2282 2436 2611 3423 4476 4564 4727 5222 6846 7833 9454 10444 10817 13692 14181 15666 18908 21634 28362 31332 32451 33089 43268 56724 60799 64902 66178 75719 99267 121598 129804 132356 151438 182397 198534 227157 243196 302876 364794 397068 425593 454314 729588 851186 908628 1276779 1702372 1763171 2553558 3526342 5107116 5289513 7052684 10579026 12342197 21158052 24684394 37026591 49368788 74053182 148106364