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156142420 = 22572283563
BaseRepresentation
bin10010100111010…
…00101101010100
3101212210212010121
421103220231110
5304433024140
623254401324
73604121500
oct1123505524
9355725117
10156142420
1180158125
1244360244
132646c985
1416a47300
15da9464a
hex94e8b54

156142420 has 72 divisors (see below), whose sum is σ = 383461344. Its totient is φ = 53250624.

The previous prime is 156142403. The next prime is 156142421. The reversal of 156142420 is 24241651.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (156142421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 277059 + ... + 277621.

It is an arithmetic number, because the mean of its divisors is an integer number (5325852).

Almost surely, 2156142420 is an apocalyptic number.

156142420 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 156142420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191730672).

156142420 is an abundant number, since it is smaller than the sum of its proper divisors (227318924).

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

156142420 is a wasteful number, since it uses less digits than its factorization.

156142420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 156142420 is about 12495.6960590437. The cubic root of 156142420 is about 538.4850312827.

The spelling of 156142420 in words is "one hundred fifty-six million, one hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 283 490 563 566 980 1126 1132 1415 1981 2252 2815 2830 3941 3962 5630 5660 7882 7924 9905 11260 13867 15764 19705 19810 27587 27734 39410 39620 55174 55468 69335 78820 110348 137935 138670 159329 275870 277340 318658 551740 637316 796645 1115303 1593290 2230606 3186580 4461212 5576515 7807121 11153030 15614242 22306060 31228484 39035605 78071210 156142420