Search a number
-
+
19770156 = 2234723379
BaseRepresentation
bin100101101101…
…0101100101100
31101012102120000
41023122230230
520030121111
61543424300
7330020640
oct113325454
941172500
1019770156
111018367a
126755090
134132923
1428a8c20
151b07c56
hex12dab2c

19770156 has 120 divisors (see below), whose sum is σ = 61797120. Its totient is φ = 5388768.

The previous prime is 19770139. The next prime is 19770169. The reversal of 19770156 is 65107791.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 19770156.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 51975 + ... + 52353.

It is an arithmetic number, because the mean of its divisors is an integer number (514976).

Almost surely, 219770156 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19770156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30898560).

19770156 is an abundant number, since it is smaller than the sum of its proper divisors (42026964).

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

19770156 is a wasteful number, since it uses less digits than its factorization.

19770156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 36.

The square root of 19770156 is about 4446.3643575398. The cubic root of 19770156 is about 270.3979317501.

The spelling of 19770156 in words is "nineteen million, seven hundred seventy thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 27 28 36 42 46 54 63 69 81 84 92 108 126 138 161 162 189 207 252 276 322 324 378 379 414 483 567 621 644 756 758 828 966 1134 1137 1242 1449 1516 1863 1932 2268 2274 2484 2653 2898 3411 3726 4347 4548 5306 5796 6822 7452 7959 8694 8717 10233 10612 13041 13644 15918 17388 17434 20466 23877 26082 26151 30699 31836 34868 40932 47754 52164 52302 61019 61398 71631 78453 95508 104604 122038 122796 143262 156906 183057 214893 235359 244076 286524 313812 366114 429786 470718 549171 706077 732228 859572 941436 1098342 1412154 1647513 2196684 2824308 3295026 4942539 6590052 9885078 19770156