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147960 = 23335137
BaseRepresentation
bin100100000111111000
321111222000
4210013320
514213320
63101000
71154241
oct440770
9244860
10147960
11a118a
1271760
1352467
143bcc8
152dc90
hex241f8

147960 has 64 divisors (see below), whose sum is σ = 496800. Its totient is φ = 39168.

The previous prime is 147949. The next prime is 147977. The reversal of 147960 is 69741.

147960 = T167 + T168 + ... + T176.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 147960.

It is an unprimeable number.

147960 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1012 + ... + 1148.

2147960 is an apocalyptic number.

147960 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 147960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248400).

147960 is an abundant number, since it is smaller than the sum of its proper divisors (348840).

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

147960 is a wasteful number, since it uses less digits than its factorization.

147960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 147960 is about 384.6556901958. The cubic root of 147960 is about 52.8909589170.

It can be divided in two parts, 1 and 47960, that added together give a square (47961 = 2192).

The spelling of 147960 in words is "one hundred forty-seven thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 137 180 216 270 274 360 411 540 548 685 822 1080 1096 1233 1370 1644 2055 2466 2740 3288 3699 4110 4932 5480 6165 7398 8220 9864 12330 14796 16440 18495 24660 29592 36990 49320 73980 147960