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147106780 = 22517231821
BaseRepresentation
bin10001100010010…
…10101111011100
3101020210210120021
420301022233130
5300124404110
622333001524
73434246512
oct1061125734
9336723507
10147106780
1176046557
12413232a4
1324628042
14157744b2
15cdac2da
hex8c4abdc

147106780 has 72 divisors (see below), whose sum is σ = 339163776. Its totient is φ = 53529600.

The previous prime is 147106777. The next prime is 147106787. The reversal of 147106780 is 87601741.

147106780 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 (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147106787) 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, 178770 + ... + 179590.

It is an arithmetic number, because the mean of its divisors is an integer number (4710608).

Almost surely, 2147106780 is an apocalyptic number.

147106780 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 147106780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169581888).

147106780 is an abundant number, since it is smaller than the sum of its proper divisors (192056996).

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

147106780 is a wasteful number, since it uses less digits than its factorization.

147106780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 34.

The square root of 147106780 is about 12128.7583865786. The cubic root of 147106780 is about 527.8909659689.

The spelling of 147106780 in words is "one hundred forty-seven million, one hundred six thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 17 20 31 34 62 68 85 124 155 170 289 310 340 527 578 620 821 1054 1156 1445 1642 2108 2635 2890 3284 4105 5270 5780 8210 8959 10540 13957 16420 17918 25451 27914 35836 44795 50902 55828 69785 89590 101804 127255 139570 179180 237269 254510 279140 432667 474538 509020 865334 949076 1186345 1730668 2163335 2372690 4326670 4745380 7355339 8653340 14710678 29421356 36776695 73553390 147106780