Search a number
-
+
155623424 = 213112157
BaseRepresentation
bin10010100011010…
…10000000000000
3101211211111012112
421101222000000
5304314422144
623235314452
73566530415
oct1121520000
9354744175
10155623424
117a933200
124414ba28
132631a688
141695010c
15d9e099e
hex946a000

155623424 has 84 divisors (see below), whose sum is σ = 344272362. Its totient is φ = 70287360.

The previous prime is 155623343. The next prime is 155623453. The reversal of 155623424 is 424326551.

It can be written as a sum of positive squares in only one way, i.e., 143233024 + 12390400 = 11968^2 + 3520^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 991154 + ... + 991310.

Almost surely, 2155623424 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 155623424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172136181).

155623424 is an abundant number, since it is smaller than the sum of its proper divisors (188648938).

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

155623424 is an equidigital number, since it uses as much as digits as its factorization.

155623424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 170 counting only the distinct ones).

The product of its digits is 28800, while the sum is 32.

The square root of 155623424 is about 12474.9117832552. The cubic root of 155623424 is about 537.8877522258.

Adding to 155623424 its reverse (424326551), we get a palindrome (579949975).

The spelling of 155623424 in words is "one hundred fifty-five million, six hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 157 176 242 256 314 352 484 512 628 704 968 1024 1256 1408 1727 1936 2048 2512 2816 3454 3872 4096 5024 5632 6908 7744 8192 10048 11264 13816 15488 18997 20096 22528 27632 30976 37994 40192 45056 55264 61952 75988 80384 90112 110528 123904 151976 160768 221056 247808 303952 321536 442112 495616 607904 643072 884224 991232 1215808 1286144 1768448 2431616 3536896 4863232 7073792 9726464 14147584 19452928 38905856 77811712 155623424