Search a number
-
+
153440 = 2557137
BaseRepresentation
bin100101011101100000
321210110222
4211131200
514402230
63142212
71206230
oct453540
9253428
10153440
11a5311
1274968
1354ac1
143dcc0
15306e5
hex25760

153440 has 48 divisors (see below), whose sum is σ = 417312. Its totient is φ = 52224.

The previous prime is 153437. The next prime is 153443. The reversal of 153440 is 44351.

153440 = T141 + T142 + ... + T154.

It is an interprime number because it is at equal distance from previous prime (153437) and next prime (153443).

It is an Ulam number.

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1052 + ... + 1188.

It is an arithmetic number, because the mean of its divisors is an integer number (8694).

2153440 is an apocalyptic number.

153440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

153440 is the 320-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208656).

153440 is an abundant number, since it is smaller than the sum of its proper divisors (263872).

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

153440 is a wasteful number, since it uses less digits than its factorization.

153440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 153440 is about 391.7141815150. The cubic root of 153440 is about 53.5360341864.

Adding to 153440 its reverse (44351), we get a palindrome (197791).

The spelling of 153440 in words is "one hundred fifty-three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 137 140 160 224 274 280 548 560 685 959 1096 1120 1370 1918 2192 2740 3836 4384 4795 5480 7672 9590 10960 15344 19180 21920 30688 38360 76720 153440