Search a number
-
+
60190128 = 2435113137
BaseRepresentation
bin1110010110011…
…0110110110000
311012020222100000
43211212312300
5110402041003
65550030000
71330415265
oct345466660
9135228300
1060190128
1130a80809
12181a8300
13c61567b
147dcb26c
15543e1a3
hex3966db0

60190128 has 120 divisors (see below), whose sum is σ = 177519888. Its totient is φ = 19740672.

The previous prime is 60190121. The next prime is 60190159. The reversal of 60190128 is 82109106.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (60190121) 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, 439276 + ... + 439412.

Almost surely, 260190128 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 60190128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88759944).

60190128 is an abundant number, since it is smaller than the sum of its proper divisors (117329760).

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

60190128 is a wasteful number, since it uses less digits than its factorization.

60190128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 60190128 is about 7758.2296949755. The cubic root of 60190128 is about 391.8998425221.

The spelling of 60190128 in words is "sixty million, one hundred ninety thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 113 137 144 162 216 226 243 274 324 339 411 432 452 486 548 648 678 822 904 972 1017 1096 1233 1296 1356 1644 1808 1944 2034 2192 2466 2712 3051 3288 3699 3888 4068 4932 5424 6102 6576 7398 8136 9153 9864 11097 12204 14796 15481 16272 18306 19728 22194 24408 27459 29592 30962 33291 36612 44388 46443 48816 54918 59184 61924 66582 73224 88776 92886 109836 123848 133164 139329 146448 177552 185772 219672 247696 266328 278658 371544 417987 439344 532656 557316 743088 835974 1114632 1253961 1671948 2229264 2507922 3343896 3761883 5015844 6687792 7523766 10031688 15047532 20063376 30095064 60190128