Search a number
-
+
4155072 = 263171967
BaseRepresentation
bin1111110110011011000000
321211002200120
433312123000
52030430242
6225020240
750213625
oct17663300
97732616
104155072
112388849
121484680
13b2632c
147a234c
155711ec
hex3f66c0

4155072 has 112 divisors (see below), whose sum is σ = 12435840. Its totient is φ = 1216512.

The previous prime is 4155061. The next prime is 4155077. The reversal of 4155072 is 2705514.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (4155077) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61983 + ... + 62049.

Almost surely, 24155072 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 4155072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6217920).

4155072 is an abundant number, since it is smaller than the sum of its proper divisors (8280768).

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

4155072 is a wasteful number, since it uses less digits than its factorization.

4155072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 4155072 is about 2038.3993720564. The cubic root of 4155072 is about 160.7654984021.

The spelling of 4155072 in words is "four million, one hundred fifty-five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 32 34 38 48 51 57 64 67 68 76 96 102 114 134 136 152 192 201 204 228 268 272 304 323 402 408 456 536 544 608 646 804 816 912 969 1072 1088 1139 1216 1273 1292 1608 1632 1824 1938 2144 2278 2546 2584 3216 3264 3417 3648 3819 3876 4288 4556 5092 5168 6432 6834 7638 7752 9112 10184 10336 12864 13668 15276 15504 18224 20368 20672 21641 27336 30552 31008 36448 40736 43282 54672 61104 62016 64923 72896 81472 86564 109344 122208 129846 173128 218688 244416 259692 346256 519384 692512 1038768 1385024 2077536 4155072