Search a number
-
+
146702080 = 285722339
BaseRepresentation
bin10001011111001…
…11111100000000
3101020001020102101
420233213330000
5300023431310
622320200144
73430642600
oct1057477400
9336036371
10146702080
117589a498
1241169054
1324515a85
14156aac00
15cd2c43a
hex8be7f00

146702080 has 108 divisors (see below), whose sum is σ = 408943080. Its totient is φ = 50276352.

The previous prime is 146702063. The next prime is 146702089. The reversal of 146702080 is 80207641.

146702080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146702089) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61551 + ... + 63889.

It is an arithmetic number, because the mean of its divisors is an integer number (3786510).

Almost surely, 2146702080 is an apocalyptic number.

146702080 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 146702080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204471540).

146702080 is an abundant number, since it is smaller than the sum of its proper divisors (262241000).

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

146702080 is an equidigital number, since it uses as much as digits as its factorization.

146702080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2374 (or 2353 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 146702080 is about 12112.0634080242. The cubic root of 146702080 is about 527.4064342930.

The spelling of 146702080 in words is "one hundred forty-six million, seven hundred two thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 224 245 256 280 320 392 448 490 560 640 784 896 980 1120 1280 1568 1792 1960 2240 2339 3136 3920 4480 4678 6272 7840 8960 9356 11695 12544 15680 16373 18712 23390 31360 32746 37424 46780 62720 65492 74848 81865 93560 114611 130984 149696 163730 187120 229222 261968 299392 327460 374240 458444 523936 573055 598784 654920 748480 916888 1047872 1146110 1309840 1496960 1833776 2095744 2292220 2619680 2993920 3667552 4191488 4584440 5239360 7335104 9168880 10478720 14670208 18337760 20957440 29340416 36675520 73351040 146702080