Search a number
-
+
61040628 = 2236112173
BaseRepresentation
bin1110100011011…
…0011111110100
311020212012000000
43220312133310
5111111300003
610020151300
71340560005
oct350663764
9136765000
1061040628
1131501800
1218538530
13c85281c
14816d1ac
15555b1a3
hex3a367f4

61040628 has 126 divisors (see below), whose sum is σ = 177059442. Its totient is φ = 18390240.

The previous prime is 61040627. The next prime is 61040653. The reversal of 61040628 is 82604016.

61040628 is a `hidden beast` number, since 610 + 40 + 6 + 2 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 59629284 + 1411344 = 7722^2 + 1188^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61040627) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 352750 + ... + 352922.

Almost surely, 261040628 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 61040628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88529721).

61040628 is an abundant number, since it is smaller than the sum of its proper divisors (116018814).

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

61040628 is a wasteful number, since it uses less digits than its factorization.

61040628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 61040628 is about 7812.8501841517. The cubic root of 61040628 is about 393.7370934545.

The spelling of 61040628 in words is "sixty-one million, forty thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 121 132 162 173 198 242 243 297 324 346 363 396 484 486 519 594 692 726 729 891 972 1038 1089 1188 1452 1458 1557 1782 1903 2076 2178 2673 2916 3114 3267 3564 3806 4356 4671 5346 5709 6228 6534 7612 8019 9342 9801 10692 11418 13068 14013 16038 17127 18684 19602 20933 22836 28026 29403 32076 34254 39204 41866 42039 51381 56052 58806 62799 68508 83732 84078 88209 102762 117612 125598 126117 154143 168156 176418 188397 205524 251196 252234 308286 352836 376794 462429 504468 565191 616572 753588 924858 1130382 1387287 1695573 1849716 2260764 2774574 3391146 5086719 5549148 6782292 10173438 15260157 20346876 30520314 61040628