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156240 = 24325731
BaseRepresentation
bin100110001001010000
321221022200
4212021100
514444430
63203200
71220340
oct461120
9257280
10156240
11a7427
1276500
1356166
1440d20
1531460
hex26250

156240 has 120 divisors (see below), whose sum is σ = 619008. Its totient is φ = 34560.

The previous prime is 156229. The next prime is 156241. The reversal of 156240 is 42651.

Adding to 156240 its reverse (42651), we get a palindrome (198891).

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (156241) 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, 5025 + ... + 5055.

156240 is a Friedman number, since it can be written as 6510*24, using all its digits and the basic arithmetic operations.

It is a vampire number, since it can be written as 240651 (with its own digits).

2156240 is an apocalyptic number.

156240 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 156240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309504).

156240 is an abundant number, since it is smaller than the sum of its proper divisors (462768).

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

156240 is a wasteful number, since it uses less digits than its factorization.

156240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 156240 is about 395.2720582080. The cubic root of 156240 is about 53.8597181944.

The spelling of 156240 in words is "one hundred fifty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 31 35 36 40 42 45 48 56 60 62 63 70 72 80 84 90 93 105 112 120 124 126 140 144 155 168 180 186 210 217 240 248 252 279 280 310 315 336 360 372 420 434 465 496 504 558 560 620 630 651 720 744 840 868 930 1008 1085 1116 1240 1260 1302 1395 1488 1680 1736 1860 1953 2170 2232 2480 2520 2604 2790 3255 3472 3720 3906 4340 4464 5040 5208 5580 6510 7440 7812 8680 9765 10416 11160 13020 15624 17360 19530 22320 26040 31248 39060 52080 78120 156240